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Finding the Fourth Proportional to 13,866.80, 20,767.80 and 13,588.40

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Solution

The fourth proportional to 13,866.80, 20,767.80 and 13,588.40 is: 20,350.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.80 : 20,767.80 = 13,588.40 : x
  2. Step 2: Convert to fraction form
    13,866.80/20,767.80 = 13,588.40/x
  3. Step 3: Cross multiply
    13,866.80x = 20,767.80 × 13,588.40
  4. Step 4: Simplify right side
    13,866.80x = 282,201,173.52
  5. Step 5: Solve for x
    x = 282,201,173.52/13,866.80
  6. Step 6: Final answer
    x = 20,350.85

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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.