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Finding the Fourth Proportional to 16,254.54, 24,382.65 and 5,162.10

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Solution

The fourth proportional to 16,254.54, 24,382.65 and 5,162.10 is: 7,743.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,254.54 : 24,382.65 = 5,162.10 : x
  2. Step 2: Convert to fraction form
    16,254.54/24,382.65 = 5,162.10/x
  3. Step 3: Cross multiply
    16,254.54x = 24,382.65 × 5,162.10
  4. Step 4: Simplify right side
    16,254.54x = 125,865,677.57
  5. Step 5: Solve for x
    x = 125,865,677.57/16,254.54
  6. Step 6: Final answer
    x = 7,743.42

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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.