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Finding the Fourth Proportional to 20,482.26, 30,739.79 and 9,394.17

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Solution

The fourth proportional to 20,482.26, 30,739.79 and 9,394.17 is: 14,098.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,482.26 : 30,739.79 = 9,394.17 : x
  2. Step 2: Convert to fraction form
    20,482.26/30,739.79 = 9,394.17/x
  3. Step 3: Cross multiply
    20,482.26x = 30,739.79 × 9,394.17
  4. Step 4: Simplify right side
    20,482.26x = 288,774,813.02
  5. Step 5: Solve for x
    x = 288,774,813.02/20,482.26
  6. Step 6: Final answer
    x = 14,098.78

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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.