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Finding the Fourth Proportional to 26,177.60, 39,266.84 and 7,458.16

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Solution

The fourth proportional to 26,177.60, 39,266.84 and 7,458.16 is: 11,187.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,177.60 : 39,266.84 = 7,458.16 : x
  2. Step 2: Convert to fraction form
    26,177.60/39,266.84 = 7,458.16/x
  3. Step 3: Cross multiply
    26,177.60x = 39,266.84 × 7,458.16
  4. Step 4: Simplify right side
    26,177.60x = 292,858,375.41
  5. Step 5: Solve for x
    x = 292,858,375.41/26,177.60
  6. Step 6: Final answer
    x = 11,187.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.