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Finding the Fourth Proportional to 14,737.68, 22,116.24 and 6,947.28

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Solution

The fourth proportional to 14,737.68, 22,116.24 and 6,947.28 is: 10,425.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,737.68 : 22,116.24 = 6,947.28 : x
  2. Step 2: Convert to fraction form
    14,737.68/22,116.24 = 6,947.28/x
  3. Step 3: Cross multiply
    14,737.68x = 22,116.24 × 6,947.28
  4. Step 4: Simplify right side
    14,737.68x = 153,647,711.83
  5. Step 5: Solve for x
    x = 153,647,711.83/14,737.68
  6. Step 6: Final answer
    x = 10,425.50

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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.