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Finding the Fourth Proportional to 16,097.68, 24,141.66 and 5,707

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Solution

The fourth proportional to 16,097.68, 24,141.66 and 5,707 is: 8,558.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,097.68 : 24,141.66 = 5,707 : x
  2. Step 2: Convert to fraction form
    16,097.68/24,141.66 = 5,707/x
  3. Step 3: Cross multiply
    16,097.68x = 24,141.66 × 5,707
  4. Step 4: Simplify right side
    16,097.68x = 137,776,453.62
  5. Step 5: Solve for x
    x = 137,776,453.62/16,097.68
  6. Step 6: Final answer
    x = 8,558.78

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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.