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Finding the Fourth Proportional to 13,497.36, 18,626.48 and 7,447.87

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Solution

The fourth proportional to 13,497.36, 18,626.48 and 7,447.87 is: 10,278.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,497.36 : 18,626.48 = 7,447.87 : x
  2. Step 2: Convert to fraction form
    13,497.36/18,626.48 = 7,447.87/x
  3. Step 3: Cross multiply
    13,497.36x = 18,626.48 × 7,447.87
  4. Step 4: Simplify right side
    13,497.36x = 138,727,565.15
  5. Step 5: Solve for x
    x = 138,727,565.15/13,497.36
  6. Step 6: Final answer
    x = 10,278.13

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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.