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Finding the Fourth Proportional to 13,689.10, 20,486.85 and 8,688.97

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Solution

The fourth proportional to 13,689.10, 20,486.85 and 8,688.97 is: 13,003.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.10 : 20,486.85 = 8,688.97 : x
  2. Step 2: Convert to fraction form
    13,689.10/20,486.85 = 8,688.97/x
  3. Step 3: Cross multiply
    13,689.10x = 20,486.85 × 8,688.97
  4. Step 4: Simplify right side
    13,689.10x = 178,009,625.04
  5. Step 5: Solve for x
    x = 178,009,625.04/13,689.10
  6. Step 6: Final answer
    x = 13,003.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.