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Finding the Fourth Proportional to 16,148.80, 24,226.80 and 6,287.20

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Solution

The fourth proportional to 16,148.80, 24,226.80 and 6,287.20 is: 9,432.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,148.80 : 24,226.80 = 6,287.20 : x
  2. Step 2: Convert to fraction form
    16,148.80/24,226.80 = 6,287.20/x
  3. Step 3: Cross multiply
    16,148.80x = 24,226.80 × 6,287.20
  4. Step 4: Simplify right side
    16,148.80x = 152,318,736.96
  5. Step 5: Solve for x
    x = 152,318,736.96/16,148.80
  6. Step 6: Final answer
    x = 9,432.20

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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.