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Finding the Fourth Proportional to 16,171.20, 24,256.80 and 14,032.80

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Solution

The fourth proportional to 16,171.20, 24,256.80 and 14,032.80 is: 21,049.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,171.20 : 24,256.80 = 14,032.80 : x
  2. Step 2: Convert to fraction form
    16,171.20/24,256.80 = 14,032.80/x
  3. Step 3: Cross multiply
    16,171.20x = 24,256.80 × 14,032.80
  4. Step 4: Simplify right side
    16,171.20x = 340,390,823.04
  5. Step 5: Solve for x
    x = 340,390,823.04/16,171.20
  6. Step 6: Final answer
    x = 21,049.20

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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.