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Finding the Fourth Proportional to 13,789.65, 20,684.43 and 5,471.58

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Solution

The fourth proportional to 13,789.65, 20,684.43 and 5,471.58 is: 8,207.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,789.65 : 20,684.43 = 5,471.58 : x
  2. Step 2: Convert to fraction form
    13,789.65/20,684.43 = 5,471.58/x
  3. Step 3: Cross multiply
    13,789.65x = 20,684.43 × 5,471.58
  4. Step 4: Simplify right side
    13,789.65x = 113,176,513.50
  5. Step 5: Solve for x
    x = 113,176,513.50/13,789.65
  6. Step 6: Final answer
    x = 8,207.35

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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.