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Finding the Fourth Proportional to 13,382.11, 20,109.48 and 7,146.46

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Solution

The fourth proportional to 13,382.11, 20,109.48 and 7,146.46 is: 10,739.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,382.11 : 20,109.48 = 7,146.46 : x
  2. Step 2: Convert to fraction form
    13,382.11/20,109.48 = 7,146.46/x
  3. Step 3: Cross multiply
    13,382.11x = 20,109.48 × 7,146.46
  4. Step 4: Simplify right side
    13,382.11x = 143,711,594.44
  5. Step 5: Solve for x
    x = 143,711,594.44/13,382.11
  6. Step 6: Final answer
    x = 10,739.08

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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.