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Finding the Fourth Proportional to 17,654.15, 24,384.29 and 13,197.69

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Solution

The fourth proportional to 17,654.15, 24,384.29 and 13,197.69 is: 18,228.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,654.15 : 24,384.29 = 13,197.69 : x
  2. Step 2: Convert to fraction form
    17,654.15/24,384.29 = 13,197.69/x
  3. Step 3: Cross multiply
    17,654.15x = 24,384.29 × 13,197.69
  4. Step 4: Simplify right side
    17,654.15x = 321,816,234.30
  5. Step 5: Solve for x
    x = 321,816,234.30/17,654.15
  6. Step 6: Final answer
    x = 18,228.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.