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Finding the Fourth Proportional to 17,892.16, 24,691.24 and 9,934.40

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Solution

The fourth proportional to 17,892.16, 24,691.24 and 9,934.40 is: 13,709.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,892.16 : 24,691.24 = 9,934.40 : x
  2. Step 2: Convert to fraction form
    17,892.16/24,691.24 = 9,934.40/x
  3. Step 3: Cross multiply
    17,892.16x = 24,691.24 × 9,934.40
  4. Step 4: Simplify right side
    17,892.16x = 245,292,654.66
  5. Step 5: Solve for x
    x = 245,292,654.66/17,892.16
  6. Step 6: Final answer
    x = 13,709.50

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1.5x scale

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.