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Finding the Fourth Proportional to 13,241.62, 18,271.92 and 7,862.14

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Solution

The fourth proportional to 13,241.62, 18,271.92 and 7,862.14 is: 10,848.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,241.62 : 18,271.92 = 7,862.14 : x
  2. Step 2: Convert to fraction form
    13,241.62/18,271.92 = 7,862.14/x
  3. Step 3: Cross multiply
    13,241.62x = 18,271.92 × 7,862.14
  4. Step 4: Simplify right side
    13,241.62x = 143,656,393.11
  5. Step 5: Solve for x
    x = 143,656,393.11/13,241.62
  6. Step 6: Final answer
    x = 10,848.85

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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.