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Finding the Fourth Proportional to 20,298.32, 30,447.64 and 7,147.68

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Solution

The fourth proportional to 20,298.32, 30,447.64 and 7,147.68 is: 10,721.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,298.32 : 30,447.64 = 7,147.68 : x
  2. Step 2: Convert to fraction form
    20,298.32/30,447.64 = 7,147.68/x
  3. Step 3: Cross multiply
    20,298.32x = 30,447.64 × 7,147.68
  4. Step 4: Simplify right side
    20,298.32x = 217,629,987.48
  5. Step 5: Solve for x
    x = 217,629,987.48/20,298.32
  6. Step 6: Final answer
    x = 10,721.58

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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.