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Finding the Fourth Proportional to 15,308.52, 22,962.24 and 4,920

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Solution

The fourth proportional to 15,308.52, 22,962.24 and 4,920 is: 7,379.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,308.52 : 22,962.24 = 4,920 : x
  2. Step 2: Convert to fraction form
    15,308.52/22,962.24 = 4,920/x
  3. Step 3: Cross multiply
    15,308.52x = 22,962.24 × 4,920
  4. Step 4: Simplify right side
    15,308.52x = 112,974,220.80
  5. Step 5: Solve for x
    x = 112,974,220.80/15,308.52
  6. Step 6: Final answer
    x = 7,379.83

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