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Finding the Fourth Proportional to 12,132.32, 16,750.88 and 8,946

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Solution

The fourth proportional to 12,132.32, 16,750.88 and 8,946 is: 12,351.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,132.32 : 16,750.88 = 8,946 : x
  2. Step 2: Convert to fraction form
    12,132.32/16,750.88 = 8,946/x
  3. Step 3: Cross multiply
    12,132.32x = 16,750.88 × 8,946
  4. Step 4: Simplify right side
    12,132.32x = 149,853,372.48
  5. Step 5: Solve for x
    x = 149,853,372.48/12,132.32
  6. Step 6: Final answer
    x = 12,351.58

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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.