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Finding the Fourth Proportional to 12,565.04, 17,332.08 and 9,033.04

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Solution

The fourth proportional to 12,565.04, 17,332.08 and 9,033.04 is: 12,460.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,565.04 : 17,332.08 = 9,033.04 : x
  2. Step 2: Convert to fraction form
    12,565.04/17,332.08 = 9,033.04/x
  3. Step 3: Cross multiply
    12,565.04x = 17,332.08 × 9,033.04
  4. Step 4: Simplify right side
    12,565.04x = 156,561,371.92
  5. Step 5: Solve for x
    x = 156,561,371.92/12,565.04
  6. Step 6: Final answer
    x = 12,460.08

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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.