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Finding the Fourth Proportional to 26,178.53, 39,267.27 and 7,458.68

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Solution

The fourth proportional to 26,178.53, 39,267.27 and 7,458.68 is: 11,187.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,178.53 : 39,267.27 = 7,458.68 : x
  2. Step 2: Convert to fraction form
    26,178.53/39,267.27 = 7,458.68/x
  3. Step 3: Cross multiply
    26,178.53x = 39,267.27 × 7,458.68
  4. Step 4: Simplify right side
    26,178.53x = 292,882,099.57
  5. Step 5: Solve for x
    x = 292,882,099.57/26,178.53
  6. Step 6: Final answer
    x = 11,187.88

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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.