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Finding the Fourth Proportional to 11,637.20, 17,376.97 and 9,144.04

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Solution

The fourth proportional to 11,637.20, 17,376.97 and 9,144.04 is: 13,654.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,637.20 : 17,376.97 = 9,144.04 : x
  2. Step 2: Convert to fraction form
    11,637.20/17,376.97 = 9,144.04/x
  3. Step 3: Cross multiply
    11,637.20x = 17,376.97 × 9,144.04
  4. Step 4: Simplify right side
    11,637.20x = 158,895,708.76
  5. Step 5: Solve for x
    x = 158,895,708.76/11,637.20
  6. Step 6: Final answer
    x = 13,654.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.