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Finding the Fourth Proportional to 16,441.20, 24,661.80 and 9,442.80

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Solution

The fourth proportional to 16,441.20, 24,661.80 and 9,442.80 is: 14,164.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,441.20 : 24,661.80 = 9,442.80 : x
  2. Step 2: Convert to fraction form
    16,441.20/24,661.80 = 9,442.80/x
  3. Step 3: Cross multiply
    16,441.20x = 24,661.80 × 9,442.80
  4. Step 4: Simplify right side
    16,441.20x = 232,876,445.04
  5. Step 5: Solve for x
    x = 232,876,445.04/16,441.20
  6. Step 6: Final answer
    x = 14,164.20

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1.5x scale

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.