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Finding the Fourth Proportional to 13,737.71, 20,608.21 and 4,851.20

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Solution

The fourth proportional to 13,737.71, 20,608.21 and 4,851.20 is: 7,277.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737.71 : 20,608.21 = 4,851.20 : x
  2. Step 2: Convert to fraction form
    13,737.71/20,608.21 = 4,851.20/x
  3. Step 3: Cross multiply
    13,737.71x = 20,608.21 × 4,851.20
  4. Step 4: Simplify right side
    13,737.71x = 99,974,587.74
  5. Step 5: Solve for x
    x = 99,974,587.74/13,737.71
  6. Step 6: Final answer
    x = 7,277.39

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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.