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Finding the Fourth Proportional to 20,588.56, 30,841.44 and 9,479.76

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Solution

The fourth proportional to 20,588.56, 30,841.44 and 9,479.76 is: 14,200.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,588.56 : 30,841.44 = 9,479.76 : x
  2. Step 2: Convert to fraction form
    20,588.56/30,841.44 = 9,479.76/x
  3. Step 3: Cross multiply
    20,588.56x = 30,841.44 × 9,479.76
  4. Step 4: Simplify right side
    20,588.56x = 292,369,449.25
  5. Step 5: Solve for x
    x = 292,369,449.25/20,588.56
  6. Step 6: Final answer
    x = 14,200.58

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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.