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Finding the Fourth Proportional to 20,152.48, 30,218.34 and 9,049.68

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Solution

The fourth proportional to 20,152.48, 30,218.34 and 9,049.68 is: 13,569.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,152.48 : 30,218.34 = 9,049.68 : x
  2. Step 2: Convert to fraction form
    20,152.48/30,218.34 = 9,049.68/x
  3. Step 3: Cross multiply
    20,152.48x = 30,218.34 × 9,049.68
  4. Step 4: Simplify right side
    20,152.48x = 273,466,307.13
  5. Step 5: Solve for x
    x = 273,466,307.13/20,152.48
  6. Step 6: Final answer
    x = 13,569.86

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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.