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Finding the Fourth Proportional to 13,966.57, 20,921.73 and 8,402.86

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Solution

The fourth proportional to 13,966.57, 20,921.73 and 8,402.86 is: 12,587.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,966.57 : 20,921.73 = 8,402.86 : x
  2. Step 2: Convert to fraction form
    13,966.57/20,921.73 = 8,402.86/x
  3. Step 3: Cross multiply
    13,966.57x = 20,921.73 × 8,402.86
  4. Step 4: Simplify right side
    13,966.57x = 175,802,368.15
  5. Step 5: Solve for x
    x = 175,802,368.15/13,966.57
  6. Step 6: Final answer
    x = 12,587.37

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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.