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Finding the Fourth Proportional to 26,851.80, 40,248.90 and 10,205.40

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Solution

The fourth proportional to 26,851.80, 40,248.90 and 10,205.40 is: 15,297.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,851.80 : 40,248.90 = 10,205.40 : x
  2. Step 2: Convert to fraction form
    26,851.80/40,248.90 = 10,205.40/x
  3. Step 3: Cross multiply
    26,851.80x = 40,248.90 × 10,205.40
  4. Step 4: Simplify right side
    26,851.80x = 410,756,124.06
  5. Step 5: Solve for x
    x = 410,756,124.06/26,851.80
  6. Step 6: Final answer
    x = 15,297.15

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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.