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Finding the Fourth Proportional to 13,423.11, 20,134.67 and 5,101.17

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Solution

The fourth proportional to 13,423.11, 20,134.67 and 5,101.17 is: 7,651.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,423.11 : 20,134.67 = 5,101.17 : x
  2. Step 2: Convert to fraction form
    13,423.11/20,134.67 = 5,101.17/x
  3. Step 3: Cross multiply
    13,423.11x = 20,134.67 × 5,101.17
  4. Step 4: Simplify right side
    13,423.11x = 102,710,349.06
  5. Step 5: Solve for x
    x = 102,710,349.06/13,423.11
  6. Step 6: Final answer
    x = 7,651.76

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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.