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Finding the Fourth Proportional to 17,864.12, 24,650.38 and 9,904.38

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Solution

The fourth proportional to 17,864.12, 24,650.38 and 9,904.38 is: 13,666.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,864.12 : 24,650.38 = 9,904.38 : x
  2. Step 2: Convert to fraction form
    17,864.12/24,650.38 = 9,904.38/x
  3. Step 3: Cross multiply
    17,864.12x = 24,650.38 × 9,904.38
  4. Step 4: Simplify right side
    17,864.12x = 244,146,730.66
  5. Step 5: Solve for x
    x = 244,146,730.66/17,864.12
  6. Step 6: Final answer
    x = 13,666.88

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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.