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Finding the Fourth Proportional to 13,402.13, 18,494.66 and 8,296.29

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Solution

The fourth proportional to 13,402.13, 18,494.66 and 8,296.29 is: 11,448.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,402.13 : 18,494.66 = 8,296.29 : x
  2. Step 2: Convert to fraction form
    13,402.13/18,494.66 = 8,296.29/x
  3. Step 3: Cross multiply
    13,402.13x = 18,494.66 × 8,296.29
  4. Step 4: Simplify right side
    13,402.13x = 153,436,928.86
  5. Step 5: Solve for x
    x = 153,436,928.86/13,402.13
  6. Step 6: Final answer
    x = 11,448.70

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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.