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Finding the Fourth Proportional to 26,438.60, 39,655.84 and 9,790.80

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Solution

The fourth proportional to 26,438.60, 39,655.84 and 9,790.80 is: 14,685.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,438.60 : 39,655.84 = 9,790.80 : x
  2. Step 2: Convert to fraction form
    26,438.60/39,655.84 = 9,790.80/x
  3. Step 3: Cross multiply
    26,438.60x = 39,655.84 × 9,790.80
  4. Step 4: Simplify right side
    26,438.60x = 388,262,398.27
  5. Step 5: Solve for x
    x = 388,262,398.27/26,438.60
  6. Step 6: Final answer
    x = 14,685.44

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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.