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Finding the Fourth Proportional to 16,338.60, 24,502.08 and 6,978.24

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Solution

The fourth proportional to 16,338.60, 24,502.08 and 6,978.24 is: 10,464.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,338.60 : 24,502.08 = 6,978.24 : x
  2. Step 2: Convert to fraction form
    16,338.60/24,502.08 = 6,978.24/x
  3. Step 3: Cross multiply
    16,338.60x = 24,502.08 × 6,978.24
  4. Step 4: Simplify right side
    16,338.60x = 170,981,394.74
  5. Step 5: Solve for x
    x = 170,981,394.74/16,338.60
  6. Step 6: Final answer
    x = 10,464.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.