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Finding the Fourth Proportional to 13,343.29, 18,414.69 and 7,374.84

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Solution

The fourth proportional to 13,343.29, 18,414.69 and 7,374.84 is: 10,177.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,343.29 : 18,414.69 = 7,374.84 : x
  2. Step 2: Convert to fraction form
    13,343.29/18,414.69 = 7,374.84/x
  3. Step 3: Cross multiply
    13,343.29x = 18,414.69 × 7,374.84
  4. Step 4: Simplify right side
    13,343.29x = 135,805,392.40
  5. Step 5: Solve for x
    x = 135,805,392.40/13,343.29
  6. Step 6: Final answer
    x = 10,177.80

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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.