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Finding the Fourth Proportional to 13,737.76, 20,606.64 and 4,972.48

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Solution

The fourth proportional to 13,737.76, 20,606.64 and 4,972.48 is: 7,458.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.76 : 20,606.64 = 4,972.48 : x
  2. Step 2: Convert to fraction form
    13,737.76/20,606.64 = 4,972.48/x
  3. Step 3: Cross multiply
    13,737.76x = 20,606.64 × 4,972.48
  4. Step 4: Simplify right side
    13,737.76x = 102,466,105.27
  5. Step 5: Solve for x
    x = 102,466,105.27/13,737.76
  6. Step 6: Final answer
    x = 7,458.72

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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.