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Finding the Fourth Proportional to 16,121.76, 24,228 and 9,548.88

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Solution

The fourth proportional to 16,121.76, 24,228 and 9,548.88 is: 14,350.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,121.76 : 24,228 = 9,548.88 : x
  2. Step 2: Convert to fraction form
    16,121.76/24,228 = 9,548.88/x
  3. Step 3: Cross multiply
    16,121.76x = 24,228 × 9,548.88
  4. Step 4: Simplify right side
    16,121.76x = 231,350,264.64
  5. Step 5: Solve for x
    x = 231,350,264.64/16,121.76
  6. Step 6: Final answer
    x = 14,350.19

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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.