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Finding the Fourth Proportional to 14,872.20, 22,304.82 and 4,339.50

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Solution

The fourth proportional to 14,872.20, 22,304.82 and 4,339.50 is: 6,508.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,872.20 : 22,304.82 = 4,339.50 : x
  2. Step 2: Convert to fraction form
    14,872.20/22,304.82 = 4,339.50/x
  3. Step 3: Cross multiply
    14,872.20x = 22,304.82 × 4,339.50
  4. Step 4: Simplify right side
    14,872.20x = 96,791,766.39
  5. Step 5: Solve for x
    x = 96,791,766.39/14,872.20
  6. Step 6: Final answer
    x = 6,508.23

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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.