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Finding the Fourth Proportional to 22,737.87, 34,113.60 and 13,742.01

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Solution

The fourth proportional to 22,737.87, 34,113.60 and 13,742.01 is: 20,617.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,737.87 : 34,113.60 = 13,742.01 : x
  2. Step 2: Convert to fraction form
    22,737.87/34,113.60 = 13,742.01/x
  3. Step 3: Cross multiply
    22,737.87x = 34,113.60 × 13,742.01
  4. Step 4: Simplify right side
    22,737.87x = 468,789,432.34
  5. Step 5: Solve for x
    x = 468,789,432.34/22,737.87
  6. Step 6: Final answer
    x = 20,617.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.