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Finding the Fourth Proportional to 17,864.51, 24,654.50 and 9,909.30

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Solution

The fourth proportional to 17,864.51, 24,654.50 and 9,909.30 is: 13,675.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,864.51 : 24,654.50 = 9,909.30 : x
  2. Step 2: Convert to fraction form
    17,864.51/24,654.50 = 9,909.30/x
  3. Step 3: Cross multiply
    17,864.51x = 24,654.50 × 9,909.30
  4. Step 4: Simplify right side
    17,864.51x = 244,308,787.30
  5. Step 5: Solve for x
    x = 244,308,787.30/17,864.51
  6. Step 6: Final answer
    x = 13,675.65

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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.