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Finding the Fourth Proportional to 13,685.67, 18,886.19 and 7,717.39

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Solution

The fourth proportional to 13,685.67, 18,886.19 and 7,717.39 is: 10,649.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.67 : 18,886.19 = 7,717.39 : x
  2. Step 2: Convert to fraction form
    13,685.67/18,886.19 = 7,717.39/x
  3. Step 3: Cross multiply
    13,685.67x = 18,886.19 × 7,717.39
  4. Step 4: Simplify right side
    13,685.67x = 145,752,008.04
  5. Step 5: Solve for x
    x = 145,752,008.04/13,685.67
  6. Step 6: Final answer
    x = 10,649.97

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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.