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Finding the Fourth Proportional to 17,647,823.40, 26,471,735.10 and 8,081,885.40

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Solution

The fourth proportional to 17,647,823.40, 26,471,735.10 and 8,081,885.40 is: 12,122,828.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,647,823.40 : 26,471,735.10 = 8,081,885.40 : x
  2. Step 2: Convert to fraction form
    17,647,823.40/26,471,735.10 = 8,081,885.40/x
  3. Step 3: Cross multiply
    17,647,823.40x = 26,471,735.10 × 8,081,885.40
  4. Step 4: Simplify right side
    17,647,823.40x = 213,941,529,417,357.56
  5. Step 5: Solve for x
    x = 213,941,529,417,357.56/17,647,823.40
  6. Step 6: Final answer
    x = 12,122,828.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.