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Finding the Fourth Proportional to 13,786.20, 20,689.73 and 10,098.02

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Solution

The fourth proportional to 13,786.20, 20,689.73 and 10,098.02 is: 15,154.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,786.20 : 20,689.73 = 10,098.02 : x
  2. Step 2: Convert to fraction form
    13,786.20/20,689.73 = 10,098.02/x
  3. Step 3: Cross multiply
    13,786.20x = 20,689.73 × 10,098.02
  4. Step 4: Simplify right side
    13,786.20x = 208,925,230.06
  5. Step 5: Solve for x
    x = 208,925,230.06/13,786.20
  6. Step 6: Final answer
    x = 15,154.66

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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.