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Finding the Fourth Proportional to 20,132.20, 30,165.90 and 10,256.68

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Solution

The fourth proportional to 20,132.20, 30,165.90 and 10,256.68 is: 15,368.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,132.20 : 30,165.90 = 10,256.68 : x
  2. Step 2: Convert to fraction form
    20,132.20/30,165.90 = 10,256.68/x
  3. Step 3: Cross multiply
    20,132.20x = 30,165.90 × 10,256.68
  4. Step 4: Simplify right side
    20,132.20x = 309,401,983.21
  5. Step 5: Solve for x
    x = 309,401,983.21/20,132.20
  6. Step 6: Final answer
    x = 15,368.51

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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.