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Finding the Fourth Proportional to 17,691.51, 24,414.12 and 9,733.56

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Solution

The fourth proportional to 17,691.51, 24,414.12 and 9,733.56 is: 13,432.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,691.51 : 24,414.12 = 9,733.56 : x
  2. Step 2: Convert to fraction form
    17,691.51/24,414.12 = 9,733.56/x
  3. Step 3: Cross multiply
    17,691.51x = 24,414.12 × 9,733.56
  4. Step 4: Simplify right side
    17,691.51x = 237,636,301.87
  5. Step 5: Solve for x
    x = 237,636,301.87/17,691.51
  6. Step 6: Final answer
    x = 13,432.22

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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.