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Finding the Fourth Proportional to 12,637.92, 17,442.12 and 9,112.80

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Solution

The fourth proportional to 12,637.92, 17,442.12 and 9,112.80 is: 12,576.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,637.92 : 17,442.12 = 9,112.80 : x
  2. Step 2: Convert to fraction form
    12,637.92/17,442.12 = 9,112.80/x
  3. Step 3: Cross multiply
    12,637.92x = 17,442.12 × 9,112.80
  4. Step 4: Simplify right side
    12,637.92x = 158,946,551.14
  5. Step 5: Solve for x
    x = 158,946,551.14/12,637.92
  6. Step 6: Final answer
    x = 12,576.96

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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.