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Finding the Fourth Proportional to 16,200.65, 24,308.03 and 5,678.24

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Solution

The fourth proportional to 16,200.65, 24,308.03 and 5,678.24 is: 8,519.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,200.65 : 24,308.03 = 5,678.24 : x
  2. Step 2: Convert to fraction form
    16,200.65/24,308.03 = 5,678.24/x
  3. Step 3: Cross multiply
    16,200.65x = 24,308.03 × 5,678.24
  4. Step 4: Simplify right side
    16,200.65x = 138,026,828.27
  5. Step 5: Solve for x
    x = 138,026,828.27/16,200.65
  6. Step 6: Final answer
    x = 8,519.83

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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.