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Finding the Fourth Proportional to 16,202.50, 24,248.88 and 9,966.47

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Solution

The fourth proportional to 16,202.50, 24,248.88 and 9,966.47 is: 14,915.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,202.50 : 24,248.88 = 9,966.47 : x
  2. Step 2: Convert to fraction form
    16,202.50/24,248.88 = 9,966.47/x
  3. Step 3: Cross multiply
    16,202.50x = 24,248.88 × 9,966.47
  4. Step 4: Simplify right side
    16,202.50x = 241,675,735.05
  5. Step 5: Solve for x
    x = 241,675,735.05/16,202.50
  6. Step 6: Final answer
    x = 14,915.95

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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.