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Finding the Fourth Proportional to 26,197.80, 39,295.72 and 11,406.74

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Solution

The fourth proportional to 26,197.80, 39,295.72 and 11,406.74 is: 17,109.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,197.80 : 39,295.72 = 11,406.74 : x
  2. Step 2: Convert to fraction form
    26,197.80/39,295.72 = 11,406.74/x
  3. Step 3: Cross multiply
    26,197.80x = 39,295.72 × 11,406.74
  4. Step 4: Simplify right side
    26,197.80x = 448,236,061.15
  5. Step 5: Solve for x
    x = 448,236,061.15/26,197.80
  6. Step 6: Final answer
    x = 17,109.68

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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.