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Finding the Fourth Proportional to 13,505.40, 20,251.42 and 4,143.17

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Solution

The fourth proportional to 13,505.40, 20,251.42 and 4,143.17 is: 6,212.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,505.40 : 20,251.42 = 4,143.17 : x
  2. Step 2: Convert to fraction form
    13,505.40/20,251.42 = 4,143.17/x
  3. Step 3: Cross multiply
    13,505.40x = 20,251.42 × 4,143.17
  4. Step 4: Simplify right side
    13,505.40x = 83,905,075.80
  5. Step 5: Solve for x
    x = 83,905,075.80/13,505.40
  6. Step 6: Final answer
    x = 6,212.71

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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.