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Finding the Fourth Proportional to 17,864.96, 24,654.78 and 9,907.31

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Solution

The fourth proportional to 17,864.96, 24,654.78 and 9,907.31 is: 13,672.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,864.96 : 24,654.78 = 9,907.31 : x
  2. Step 2: Convert to fraction form
    17,864.96/24,654.78 = 9,907.31/x
  3. Step 3: Cross multiply
    17,864.96x = 24,654.78 × 9,907.31
  4. Step 4: Simplify right side
    17,864.96x = 244,262,610.08
  5. Step 5: Solve for x
    x = 244,262,610.08/17,864.96
  6. Step 6: Final answer
    x = 13,672.72

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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.