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Finding the Fourth Proportional to 13,146.50, 18,142.17 and 7,560.74

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Solution

The fourth proportional to 13,146.50, 18,142.17 and 7,560.74 is: 10,433.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,146.50 : 18,142.17 = 7,560.74 : x
  2. Step 2: Convert to fraction form
    13,146.50/18,142.17 = 7,560.74/x
  3. Step 3: Cross multiply
    13,146.50x = 18,142.17 × 7,560.74
  4. Step 4: Simplify right side
    13,146.50x = 137,168,230.41
  5. Step 5: Solve for x
    x = 137,168,230.41/13,146.50
  6. Step 6: Final answer
    x = 10,433.82

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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.