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Finding the Fourth Proportional to 20,095.68, 30,132.24 and 9,013.02

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Solution

The fourth proportional to 20,095.68, 30,132.24 and 9,013.02 is: 13,514.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,095.68 : 30,132.24 = 9,013.02 : x
  2. Step 2: Convert to fraction form
    20,095.68/30,132.24 = 9,013.02/x
  3. Step 3: Cross multiply
    20,095.68x = 30,132.24 × 9,013.02
  4. Step 4: Simplify right side
    20,095.68x = 271,582,481.76
  5. Step 5: Solve for x
    x = 271,582,481.76/20,095.68
  6. Step 6: Final answer
    x = 13,514.47

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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.