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Finding the Fourth Proportional to 20,722.16, 28,601 and 13,649.20

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Solution

The fourth proportional to 20,722.16, 28,601 and 13,649.20 is: 18,838.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,722.16 : 28,601 = 13,649.20 : x
  2. Step 2: Convert to fraction form
    20,722.16/28,601 = 13,649.20/x
  3. Step 3: Cross multiply
    20,722.16x = 28,601 × 13,649.20
  4. Step 4: Simplify right side
    20,722.16x = 390,380,769.20
  5. Step 5: Solve for x
    x = 390,380,769.20/20,722.16
  6. Step 6: Final answer
    x = 18,838.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.