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Finding the Fourth Proportional to 17,977,585.98, 24,809,057.96 and 9,717,648.40

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Solution

The fourth proportional to 17,977,585.98, 24,809,057.96 and 9,717,648.40 is: 13,410,349.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,977,585.98 : 24,809,057.96 = 9,717,648.40 : x
  2. Step 2: Convert to fraction form
    17,977,585.98/24,809,057.96 = 9,717,648.40/x
  3. Step 3: Cross multiply
    17,977,585.98x = 24,809,057.96 × 9,717,648.40
  4. Step 4: Simplify right side
    17,977,585.98x = 241,085,702,217,867.72
  5. Step 5: Solve for x
    x = 241,085,702,217,867.72/17,977,585.98
  6. Step 6: Final answer
    x = 13,410,349.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.