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Finding the Fourth Proportional to 13,689.57, 20,529.33 and 6,667.47

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Solution

The fourth proportional to 13,689.57, 20,529.33 and 6,667.47 is: 9,998.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.57 : 20,529.33 = 6,667.47 : x
  2. Step 2: Convert to fraction form
    13,689.57/20,529.33 = 6,667.47/x
  3. Step 3: Cross multiply
    13,689.57x = 20,529.33 × 6,667.47
  4. Step 4: Simplify right side
    13,689.57x = 136,878,691.90
  5. Step 5: Solve for x
    x = 136,878,691.90/13,689.57
  6. Step 6: Final answer
    x = 9,998.76

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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.