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Finding the Fourth Proportional to 27,414, 41,150.60 and 13,592.24

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Solution

The fourth proportional to 27,414, 41,150.60 and 13,592.24 is: 20,403.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,414 : 41,150.60 = 13,592.24 : x
  2. Step 2: Convert to fraction form
    27,414/41,150.60 = 13,592.24/x
  3. Step 3: Cross multiply
    27,414x = 41,150.60 × 13,592.24
  4. Step 4: Simplify right side
    27,414x = 559,328,831.34
  5. Step 5: Solve for x
    x = 559,328,831.34/27,414
  6. Step 6: Final answer
    x = 20,403.04

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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.