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Finding the Fourth Proportional to 13,522.69, 20,292.54 and 5,731.48

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Solution

The fourth proportional to 13,522.69, 20,292.54 and 5,731.48 is: 8,600.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,522.69 : 20,292.54 = 5,731.48 : x
  2. Step 2: Convert to fraction form
    13,522.69/20,292.54 = 5,731.48/x
  3. Step 3: Cross multiply
    13,522.69x = 20,292.54 × 5,731.48
  4. Step 4: Simplify right side
    13,522.69x = 116,306,287.16
  5. Step 5: Solve for x
    x = 116,306,287.16/13,522.69
  6. Step 6: Final answer
    x = 8,600.82

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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.