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Finding the Fourth Proportional to 20,159.10, 30,238.86 and 7,011.90

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Solution

The fourth proportional to 20,159.10, 30,238.86 and 7,011.90 is: 10,517.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,159.10 : 30,238.86 = 7,011.90 : x
  2. Step 2: Convert to fraction form
    20,159.10/30,238.86 = 7,011.90/x
  3. Step 3: Cross multiply
    20,159.10x = 30,238.86 × 7,011.90
  4. Step 4: Simplify right side
    20,159.10x = 212,031,862.43
  5. Step 5: Solve for x
    x = 212,031,862.43/20,159.10
  6. Step 6: Final answer
    x = 10,517.92

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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.