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Finding the Fourth Proportional to 17,732.94, 24,472.65 and 9,775.17

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Solution

The fourth proportional to 17,732.94, 24,472.65 and 9,775.17 is: 13,490.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,732.94 : 24,472.65 = 9,775.17 : x
  2. Step 2: Convert to fraction form
    17,732.94/24,472.65 = 9,775.17/x
  3. Step 3: Cross multiply
    17,732.94x = 24,472.65 × 9,775.17
  4. Step 4: Simplify right side
    17,732.94x = 239,224,314.10
  5. Step 5: Solve for x
    x = 239,224,314.10/17,732.94
  6. Step 6: Final answer
    x = 13,490.39

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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.