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Finding the Fourth Proportional to 14,661.12, 20,231.84 and 8,689.24

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Solution

The fourth proportional to 14,661.12, 20,231.84 and 8,689.24 is: 11,990.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,661.12 : 20,231.84 = 8,689.24 : x
  2. Step 2: Convert to fraction form
    14,661.12/20,231.84 = 8,689.24/x
  3. Step 3: Cross multiply
    14,661.12x = 20,231.84 × 8,689.24
  4. Step 4: Simplify right side
    14,661.12x = 175,799,360.41
  5. Step 5: Solve for x
    x = 175,799,360.41/14,661.12
  6. Step 6: Final answer
    x = 11,990.86

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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.