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Finding the Fourth Proportional to 13,229.59, 18,257.18 and 7,565.26

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Solution

The fourth proportional to 13,229.59, 18,257.18 and 7,565.26 is: 10,440.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,229.59 : 18,257.18 = 7,565.26 : x
  2. Step 2: Convert to fraction form
    13,229.59/18,257.18 = 7,565.26/x
  3. Step 3: Cross multiply
    13,229.59x = 18,257.18 × 7,565.26
  4. Step 4: Simplify right side
    13,229.59x = 138,120,313.57
  5. Step 5: Solve for x
    x = 138,120,313.57/13,229.59
  6. Step 6: Final answer
    x = 10,440.26

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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.