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Finding the Fourth Proportional to 22,874.48, 34,283.46 and 13,505

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Solution

The fourth proportional to 22,874.48, 34,283.46 and 13,505 is: 20,240.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,874.48 : 34,283.46 = 13,505 : x
  2. Step 2: Convert to fraction form
    22,874.48/34,283.46 = 13,505/x
  3. Step 3: Cross multiply
    22,874.48x = 34,283.46 × 13,505
  4. Step 4: Simplify right side
    22,874.48x = 462,998,127.30
  5. Step 5: Solve for x
    x = 462,998,127.30/22,874.48
  6. Step 6: Final answer
    x = 20,240.82

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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.