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Finding the Fourth Proportional to 20,232.17, 30,348.53 and 7,752.83

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Solution

The fourth proportional to 20,232.17, 30,348.53 and 7,752.83 is: 11,629.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,232.17 : 30,348.53 = 7,752.83 : x
  2. Step 2: Convert to fraction form
    20,232.17/30,348.53 = 7,752.83/x
  3. Step 3: Cross multiply
    20,232.17x = 30,348.53 × 7,752.83
  4. Step 4: Simplify right side
    20,232.17x = 235,286,803.33
  5. Step 5: Solve for x
    x = 235,286,803.33/20,232.17
  6. Step 6: Final answer
    x = 11,629.34

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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.