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Finding the Fourth Proportional to 13,471.65, 20,207.43 and 3,610.68

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Solution

The fourth proportional to 13,471.65, 20,207.43 and 3,610.68 is: 5,416.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.65 : 20,207.43 = 3,610.68 : x
  2. Step 2: Convert to fraction form
    13,471.65/20,207.43 = 3,610.68/x
  3. Step 3: Cross multiply
    13,471.65x = 20,207.43 × 3,610.68
  4. Step 4: Simplify right side
    13,471.65x = 72,962,563.35
  5. Step 5: Solve for x
    x = 72,962,563.35/13,471.65
  6. Step 6: Final answer
    x = 5,416.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.