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Finding the Fourth Proportional to 16,654.14, 25,013 and 9,648.22

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Solution

The fourth proportional to 16,654.14, 25,013 and 9,648.22 is: 14,490.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,654.14 : 25,013 = 9,648.22 : x
  2. Step 2: Convert to fraction form
    16,654.14/25,013 = 9,648.22/x
  3. Step 3: Cross multiply
    16,654.14x = 25,013 × 9,648.22
  4. Step 4: Simplify right side
    16,654.14x = 241,330,926.86
  5. Step 5: Solve for x
    x = 241,330,926.86/16,654.14
  6. Step 6: Final answer
    x = 14,490.75

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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.