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Finding the Fourth Proportional to 13,866.57, 20,770.43 and 12,875.13

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Solution

The fourth proportional to 13,866.57, 20,770.43 and 12,875.13 is: 19,285.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,866.57 : 20,770.43 = 12,875.13 : x
  2. Step 2: Convert to fraction form
    13,866.57/20,770.43 = 12,875.13/x
  3. Step 3: Cross multiply
    13,866.57x = 20,770.43 × 12,875.13
  4. Step 4: Simplify right side
    13,866.57x = 267,421,922.03
  5. Step 5: Solve for x
    x = 267,421,922.03/13,866.57
  6. Step 6: Final answer
    x = 19,285.37

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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.