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Finding the Fourth Proportional to 13,402.44, 18,494.68 and 7,434.12

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Solution

The fourth proportional to 13,402.44, 18,494.68 and 7,434.12 is: 10,258.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.44 : 18,494.68 = 7,434.12 : x
  2. Step 2: Convert to fraction form
    13,402.44/18,494.68 = 7,434.12/x
  3. Step 3: Cross multiply
    13,402.44x = 18,494.68 × 7,434.12
  4. Step 4: Simplify right side
    13,402.44x = 137,491,670.48
  5. Step 5: Solve for x
    x = 137,491,670.48/13,402.44
  6. Step 6: Final answer
    x = 10,258.70

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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.