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Finding the Fourth Proportional to 16,069.96, 24,101.70 and 4,382.20

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Solution

The fourth proportional to 16,069.96, 24,101.70 and 4,382.20 is: 6,572.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,069.96 : 24,101.70 = 4,382.20 : x
  2. Step 2: Convert to fraction form
    16,069.96/24,101.70 = 4,382.20/x
  3. Step 3: Cross multiply
    16,069.96x = 24,101.70 × 4,382.20
  4. Step 4: Simplify right side
    16,069.96x = 105,618,469.74
  5. Step 5: Solve for x
    x = 105,618,469.74/16,069.96
  6. Step 6: Final answer
    x = 6,572.42

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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.