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Finding the Fourth Proportional to 13,402.67, 18,494.73 and 7,434.08

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Solution

The fourth proportional to 13,402.67, 18,494.73 and 7,434.08 is: 10,258.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.67 : 18,494.73 = 7,434.08 : x
  2. Step 2: Convert to fraction form
    13,402.67/18,494.73 = 7,434.08/x
  3. Step 3: Cross multiply
    13,402.67x = 18,494.73 × 7,434.08
  4. Step 4: Simplify right side
    13,402.67x = 137,491,279.28
  5. Step 5: Solve for x
    x = 137,491,279.28/13,402.67
  6. Step 6: Final answer
    x = 10,258.50

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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.