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Finding the Fourth Proportional to 13,423.70, 20,098.53 and 10,126.82

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Solution

The fourth proportional to 13,423.70, 20,098.53 and 10,126.82 is: 15,162.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.70 : 20,098.53 = 10,126.82 : x
  2. Step 2: Convert to fraction form
    13,423.70/20,098.53 = 10,126.82/x
  3. Step 3: Cross multiply
    13,423.70x = 20,098.53 × 10,126.82
  4. Step 4: Simplify right side
    13,423.70x = 203,534,195.57
  5. Step 5: Solve for x
    x = 203,534,195.57/13,423.70
  6. Step 6: Final answer
    x = 15,162.30

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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.