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Finding the Fourth Proportional to 16,290.16, 24,434.92 and 5,196.71

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Solution

The fourth proportional to 16,290.16, 24,434.92 and 5,196.71 is: 7,794.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,290.16 : 24,434.92 = 5,196.71 : x
  2. Step 2: Convert to fraction form
    16,290.16/24,434.92 = 5,196.71/x
  3. Step 3: Cross multiply
    16,290.16x = 24,434.92 × 5,196.71
  4. Step 4: Simplify right side
    16,290.16x = 126,981,094.02
  5. Step 5: Solve for x
    x = 126,981,094.02/16,290.16
  6. Step 6: Final answer
    x = 7,794.96

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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.