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Finding the Fourth Proportional to 13,148.52, 18,146.28 and 7,843.34

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Solution

The fourth proportional to 13,148.52, 18,146.28 and 7,843.34 is: 10,824.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,148.52 : 18,146.28 = 7,843.34 : x
  2. Step 2: Convert to fraction form
    13,148.52/18,146.28 = 7,843.34/x
  3. Step 3: Cross multiply
    13,148.52x = 18,146.28 × 7,843.34
  4. Step 4: Simplify right side
    13,148.52x = 142,327,401.34
  5. Step 5: Solve for x
    x = 142,327,401.34/13,148.52
  6. Step 6: Final answer
    x = 10,824.59

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.