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Finding the Fourth Proportional to 20,305.32, 30,458.14 and 7,154.68

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Solution

The fourth proportional to 20,305.32, 30,458.14 and 7,154.68 is: 10,732.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,305.32 : 30,458.14 = 7,154.68 : x
  2. Step 2: Convert to fraction form
    20,305.32/30,458.14 = 7,154.68/x
  3. Step 3: Cross multiply
    20,305.32x = 30,458.14 × 7,154.68
  4. Step 4: Simplify right side
    20,305.32x = 217,918,245.10
  5. Step 5: Solve for x
    x = 217,918,245.10/20,305.32
  6. Step 6: Final answer
    x = 10,732.08

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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.