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Finding the Fourth Proportional to 11,347.49, 17,008.63 and 8,565.14

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Solution

The fourth proportional to 11,347.49, 17,008.63 and 8,565.14 is: 12,838.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,347.49 : 17,008.63 = 8,565.14 : x
  2. Step 2: Convert to fraction form
    11,347.49/17,008.63 = 8,565.14/x
  3. Step 3: Cross multiply
    11,347.49x = 17,008.63 × 8,565.14
  4. Step 4: Simplify right side
    11,347.49x = 145,681,318.27
  5. Step 5: Solve for x
    x = 145,681,318.27/11,347.49
  6. Step 6: Final answer
    x = 12,838.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.