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Finding the Fourth Proportional to 15,471.38, 23,203.34 and 7,143.39

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Solution

The fourth proportional to 15,471.38, 23,203.34 and 7,143.39 is: 10,713.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,471.38 : 23,203.34 = 7,143.39 : x
  2. Step 2: Convert to fraction form
    15,471.38/23,203.34 = 7,143.39/x
  3. Step 3: Cross multiply
    15,471.38x = 23,203.34 × 7,143.39
  4. Step 4: Simplify right side
    15,471.38x = 165,750,506.92
  5. Step 5: Solve for x
    x = 165,750,506.92/15,471.38
  6. Step 6: Final answer
    x = 10,713.37

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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.