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Finding the Fourth Proportional to 13,689.15, 18,902.21 and 8,661.48

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Solution

The fourth proportional to 13,689.15, 18,902.21 and 8,661.48 is: 11,959.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.15 : 18,902.21 = 8,661.48 : x
  2. Step 2: Convert to fraction form
    13,689.15/18,902.21 = 8,661.48/x
  3. Step 3: Cross multiply
    13,689.15x = 18,902.21 × 8,661.48
  4. Step 4: Simplify right side
    13,689.15x = 163,721,070.56
  5. Step 5: Solve for x
    x = 163,721,070.56/13,689.15
  6. Step 6: Final answer
    x = 11,959.92

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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.