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Finding the Fourth Proportional to 13,475.84, 20,215.92 and 5,685.80

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Solution

The fourth proportional to 13,475.84, 20,215.92 and 5,685.80 is: 8,529.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,475.84 : 20,215.92 = 5,685.80 : x
  2. Step 2: Convert to fraction form
    13,475.84/20,215.92 = 5,685.80/x
  3. Step 3: Cross multiply
    13,475.84x = 20,215.92 × 5,685.80
  4. Step 4: Simplify right side
    13,475.84x = 114,943,677.94
  5. Step 5: Solve for x
    x = 114,943,677.94/13,475.84
  6. Step 6: Final answer
    x = 8,529.61

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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.