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Finding the Fourth Proportional to 11,909.90, 17,864.51 and 3,144.89

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Solution

The fourth proportional to 11,909.90, 17,864.51 and 3,144.89 is: 4,717.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,909.90 : 17,864.51 = 3,144.89 : x
  2. Step 2: Convert to fraction form
    11,909.90/17,864.51 = 3,144.89/x
  3. Step 3: Cross multiply
    11,909.90x = 17,864.51 × 3,144.89
  4. Step 4: Simplify right side
    11,909.90x = 56,181,947.79
  5. Step 5: Solve for x
    x = 56,181,947.79/11,909.90
  6. Step 6: Final answer
    x = 4,717.25

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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.