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Finding the Fourth Proportional to 10,241.60, 14,142.24 and 8,859.20

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Solution

The fourth proportional to 10,241.60, 14,142.24 and 8,859.20 is: 12,233.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,241.60 : 14,142.24 = 8,859.20 : x
  2. Step 2: Convert to fraction form
    10,241.60/14,142.24 = 8,859.20/x
  3. Step 3: Cross multiply
    10,241.60x = 14,142.24 × 8,859.20
  4. Step 4: Simplify right side
    10,241.60x = 125,288,932.61
  5. Step 5: Solve for x
    x = 125,288,932.61/10,241.60
  6. Step 6: Final answer
    x = 12,233.34

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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.