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Finding the Fourth Proportional to 17,430.72, 24,054.75 and 9,877.38

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Solution

The fourth proportional to 17,430.72, 24,054.75 and 9,877.38 is: 13,630.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,430.72 : 24,054.75 = 9,877.38 : x
  2. Step 2: Convert to fraction form
    17,430.72/24,054.75 = 9,877.38/x
  3. Step 3: Cross multiply
    17,430.72x = 24,054.75 × 9,877.38
  4. Step 4: Simplify right side
    17,430.72x = 237,597,906.56
  5. Step 5: Solve for x
    x = 237,597,906.56/17,430.72
  6. Step 6: Final answer
    x = 13,630.99

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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.