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Finding the Fourth Proportional to 16,008.69, 24,013.04 and 4,321.90

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Solution

The fourth proportional to 16,008.69, 24,013.04 and 4,321.90 is: 6,482.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,008.69 : 24,013.04 = 4,321.90 : x
  2. Step 2: Convert to fraction form
    16,008.69/24,013.04 = 4,321.90/x
  3. Step 3: Cross multiply
    16,008.69x = 24,013.04 × 4,321.90
  4. Step 4: Simplify right side
    16,008.69x = 103,781,957.58
  5. Step 5: Solve for x
    x = 103,781,957.58/16,008.69
  6. Step 6: Final answer
    x = 6,482.85

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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.