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Finding the Fourth Proportional to 12,535.91, 17,299.05 and 7,497.15

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Solution

The fourth proportional to 12,535.91, 17,299.05 and 7,497.15 is: 10,345.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,535.91 : 17,299.05 = 7,497.15 : x
  2. Step 2: Convert to fraction form
    12,535.91/17,299.05 = 7,497.15/x
  3. Step 3: Cross multiply
    12,535.91x = 17,299.05 × 7,497.15
  4. Step 4: Simplify right side
    12,535.91x = 129,693,572.71
  5. Step 5: Solve for x
    x = 129,693,572.71/12,535.91
  6. Step 6: Final answer
    x = 10,345.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.