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Finding the Fourth Proportional to 12,387.78, 17,099.82 and 9,047.88

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Solution

The fourth proportional to 12,387.78, 17,099.82 and 9,047.88 is: 12,489.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,387.78 : 17,099.82 = 9,047.88 : x
  2. Step 2: Convert to fraction form
    12,387.78/17,099.82 = 9,047.88/x
  3. Step 3: Cross multiply
    12,387.78x = 17,099.82 × 9,047.88
  4. Step 4: Simplify right side
    12,387.78x = 154,717,119.38
  5. Step 5: Solve for x
    x = 154,717,119.38/12,387.78
  6. Step 6: Final answer
    x = 12,489.50

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.