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Finding the Fourth Proportional to 20,251.60, 30,368.40 and 9,157.84

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Solution

The fourth proportional to 20,251.60, 30,368.40 and 9,157.84 is: 13,732.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,251.60 : 30,368.40 = 9,157.84 : x
  2. Step 2: Convert to fraction form
    20,251.60/30,368.40 = 9,157.84/x
  3. Step 3: Cross multiply
    20,251.60x = 30,368.40 × 9,157.84
  4. Step 4: Simplify right side
    20,251.60x = 278,108,948.26
  5. Step 5: Solve for x
    x = 278,108,948.26/20,251.60
  6. Step 6: Final answer
    x = 13,732.69

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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.