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Finding the Fourth Proportional to 13,685.63, 20,529.75 and 6,292.15

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Solution

The fourth proportional to 13,685.63, 20,529.75 and 6,292.15 is: 9,438.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,685.63 : 20,529.75 = 6,292.15 : x
  2. Step 2: Convert to fraction form
    13,685.63/20,529.75 = 6,292.15/x
  3. Step 3: Cross multiply
    13,685.63x = 20,529.75 × 6,292.15
  4. Step 4: Simplify right side
    13,685.63x = 129,176,238.73
  5. Step 5: Solve for x
    x = 129,176,238.73/13,685.63
  6. Step 6: Final answer
    x = 9,438.83

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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.