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Finding the Fourth Proportional to 26,205.66, 39,282.84 and 10,405.43

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Solution

The fourth proportional to 26,205.66, 39,282.84 and 10,405.43 is: 15,597.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,205.66 : 39,282.84 = 10,405.43 : x
  2. Step 2: Convert to fraction form
    26,205.66/39,282.84 = 10,405.43/x
  3. Step 3: Cross multiply
    26,205.66x = 39,282.84 × 10,405.43
  4. Step 4: Simplify right side
    26,205.66x = 408,754,792.72
  5. Step 5: Solve for x
    x = 408,754,792.72/26,205.66
  6. Step 6: Final answer
    x = 15,597.96

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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.