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Finding the Fourth Proportional to 13,110.41, 18,092.41 and 7,142.02

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Solution

The fourth proportional to 13,110.41, 18,092.41 and 7,142.02 is: 9,856.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,110.41 : 18,092.41 = 7,142.02 : x
  2. Step 2: Convert to fraction form
    13,110.41/18,092.41 = 7,142.02/x
  3. Step 3: Cross multiply
    13,110.41x = 18,092.41 × 7,142.02
  4. Step 4: Simplify right side
    13,110.41x = 129,216,432.93
  5. Step 5: Solve for x
    x = 129,216,432.93/13,110.41
  6. Step 6: Final answer
    x = 9,856.02

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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.