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Finding the Fourth Proportional to 13,691.34, 20,500.29 and 9,522.54

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Solution

The fourth proportional to 13,691.34, 20,500.29 and 9,522.54 is: 14,258.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.34 : 20,500.29 = 9,522.54 : x
  2. Step 2: Convert to fraction form
    13,691.34/20,500.29 = 9,522.54/x
  3. Step 3: Cross multiply
    13,691.34x = 20,500.29 × 9,522.54
  4. Step 4: Simplify right side
    13,691.34x = 195,214,831.54
  5. Step 5: Solve for x
    x = 195,214,831.54/13,691.34
  6. Step 6: Final answer
    x = 14,258.27

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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.