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Finding the Fourth Proportional to 27,098.20, 40,647.30 and 15,434.20

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Solution

The fourth proportional to 27,098.20, 40,647.30 and 15,434.20 is: 23,151.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,098.20 : 40,647.30 = 15,434.20 : x
  2. Step 2: Convert to fraction form
    27,098.20/40,647.30 = 15,434.20/x
  3. Step 3: Cross multiply
    27,098.20x = 40,647.30 × 15,434.20
  4. Step 4: Simplify right side
    27,098.20x = 627,358,557.66
  5. Step 5: Solve for x
    x = 627,358,557.66/27,098.20
  6. Step 6: Final answer
    x = 23,151.30

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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.