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Finding the Fourth Proportional to 12,132.78, 16,748.91 and 8,152.26

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Solution

The fourth proportional to 12,132.78, 16,748.91 and 8,152.26 is: 11,253.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132.78 : 16,748.91 = 8,152.26 : x
  2. Step 2: Convert to fraction form
    12,132.78/16,748.91 = 8,152.26/x
  3. Step 3: Cross multiply
    12,132.78x = 16,748.91 × 8,152.26
  4. Step 4: Simplify right side
    12,132.78x = 136,541,469.04
  5. Step 5: Solve for x
    x = 136,541,469.04/12,132.78
  6. Step 6: Final answer
    x = 11,253.93

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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.