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Finding the Fourth Proportional to 13,497.39, 18,626.28 and 7,447.69

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Solution

The fourth proportional to 13,497.39, 18,626.28 and 7,447.69 is: 10,277.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497.39 : 18,626.28 = 7,447.69 : x
  2. Step 2: Convert to fraction form
    13,497.39/18,626.28 = 7,447.69/x
  3. Step 3: Cross multiply
    13,497.39x = 18,626.28 × 7,447.69
  4. Step 4: Simplify right side
    13,497.39x = 138,722,719.72
  5. Step 5: Solve for x
    x = 138,722,719.72/13,497.39
  6. Step 6: Final answer
    x = 10,277.74

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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.