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Finding the Fourth Proportional to 26,506.96, 39,764.24 and 9,865.60

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Solution

The fourth proportional to 26,506.96, 39,764.24 and 9,865.60 is: 14,799.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,506.96 : 39,764.24 = 9,865.60 : x
  2. Step 2: Convert to fraction form
    26,506.96/39,764.24 = 9,865.60/x
  3. Step 3: Cross multiply
    26,506.96x = 39,764.24 × 9,865.60
  4. Step 4: Simplify right side
    26,506.96x = 392,298,086.14
  5. Step 5: Solve for x
    x = 392,298,086.14/26,506.96
  6. Step 6: Final answer
    x = 14,799.81

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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.