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Finding the Fourth Proportional to 13,780.57, 20,668.04 and 3,917.20

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Solution

The fourth proportional to 13,780.57, 20,668.04 and 3,917.20 is: 5,875.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,780.57 : 20,668.04 = 3,917.20 : x
  2. Step 2: Convert to fraction form
    13,780.57/20,668.04 = 3,917.20/x
  3. Step 3: Cross multiply
    13,780.57x = 20,668.04 × 3,917.20
  4. Step 4: Simplify right side
    13,780.57x = 80,960,846.29
  5. Step 5: Solve for x
    x = 80,960,846.29/13,780.57
  6. Step 6: Final answer
    x = 5,875.00

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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.