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Finding the Fourth Proportional to 15,226.40, 20,993.18 and 9,839.70

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Solution

The fourth proportional to 15,226.40, 20,993.18 and 9,839.70 is: 13,566.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,226.40 : 20,993.18 = 9,839.70 : x
  2. Step 2: Convert to fraction form
    15,226.40/20,993.18 = 9,839.70/x
  3. Step 3: Cross multiply
    15,226.40x = 20,993.18 × 9,839.70
  4. Step 4: Simplify right side
    15,226.40x = 206,566,593.25
  5. Step 5: Solve for x
    x = 206,566,593.25/15,226.40
  6. Step 6: Final answer
    x = 13,566.34

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.