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Finding the Fourth Proportional to 20,872.16, 31,298.22 and 9,769.52

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Solution

The fourth proportional to 20,872.16, 31,298.22 and 9,769.52 is: 14,649.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,872.16 : 31,298.22 = 9,769.52 : x
  2. Step 2: Convert to fraction form
    20,872.16/31,298.22 = 9,769.52/x
  3. Step 3: Cross multiply
    20,872.16x = 31,298.22 × 9,769.52
  4. Step 4: Simplify right side
    20,872.16x = 305,768,586.25
  5. Step 5: Solve for x
    x = 305,768,586.25/20,872.16
  6. Step 6: Final answer
    x = 14,649.59

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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.