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Finding the Fourth Proportional to 13,649.22, 20,470.14 and 5,856.21

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Solution

The fourth proportional to 13,649.22, 20,470.14 and 5,856.21 is: 8,782.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,649.22 : 20,470.14 = 5,856.21 : x
  2. Step 2: Convert to fraction form
    13,649.22/20,470.14 = 5,856.21/x
  3. Step 3: Cross multiply
    13,649.22x = 20,470.14 × 5,856.21
  4. Step 4: Simplify right side
    13,649.22x = 119,877,438.57
  5. Step 5: Solve for x
    x = 119,877,438.57/13,649.22
  6. Step 6: Final answer
    x = 8,782.73

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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.