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Finding the Fourth Proportional to 13,402.64, 18,494.33 and 7,434.18

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Solution

The fourth proportional to 13,402.64, 18,494.33 and 7,434.18 is: 10,258.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.64 : 18,494.33 = 7,434.18 : x
  2. Step 2: Convert to fraction form
    13,402.64/18,494.33 = 7,434.18/x
  3. Step 3: Cross multiply
    13,402.64x = 18,494.33 × 7,434.18
  4. Step 4: Simplify right side
    13,402.64x = 137,490,141.03
  5. Step 5: Solve for x
    x = 137,490,141.03/13,402.64
  6. Step 6: Final answer
    x = 10,258.44

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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.