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Finding the Fourth Proportional to 16,365.65, 24,543.10 and 5,269.66

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Solution

The fourth proportional to 16,365.65, 24,543.10 and 5,269.66 is: 7,902.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,365.65 : 24,543.10 = 5,269.66 : x
  2. Step 2: Convert to fraction form
    16,365.65/24,543.10 = 5,269.66/x
  3. Step 3: Cross multiply
    16,365.65x = 24,543.10 × 5,269.66
  4. Step 4: Simplify right side
    16,365.65x = 129,333,737.58
  5. Step 5: Solve for x
    x = 129,333,737.58/16,365.65
  6. Step 6: Final answer
    x = 7,902.76

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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.