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Finding the Fourth Proportional to 16,376.80, 24,565.20 and 9,443.20

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Solution

The fourth proportional to 16,376.80, 24,565.20 and 9,443.20 is: 14,164.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,376.80 : 24,565.20 = 9,443.20 : x
  2. Step 2: Convert to fraction form
    16,376.80/24,565.20 = 9,443.20/x
  3. Step 3: Cross multiply
    16,376.80x = 24,565.20 × 9,443.20
  4. Step 4: Simplify right side
    16,376.80x = 231,974,096.64
  5. Step 5: Solve for x
    x = 231,974,096.64/16,376.80
  6. Step 6: Final answer
    x = 14,164.80

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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.