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Finding the Fourth Proportional to 12,140.64, 16,755.90 and 7,427.64

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Solution

The fourth proportional to 12,140.64, 16,755.90 and 7,427.64 is: 10,251.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,140.64 : 16,755.90 = 7,427.64 : x
  2. Step 2: Convert to fraction form
    12,140.64/16,755.90 = 7,427.64/x
  3. Step 3: Cross multiply
    12,140.64x = 16,755.90 × 7,427.64
  4. Step 4: Simplify right side
    12,140.64x = 124,456,793.08
  5. Step 5: Solve for x
    x = 124,456,793.08/12,140.64
  6. Step 6: Final answer
    x = 10,251.25

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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.