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Finding the Fourth Proportional to 22,649.20, 33,935.42 and 13,865.76

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Solution

The fourth proportional to 22,649.20, 33,935.42 and 13,865.76 is: 20,775.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,649.20 : 33,935.42 = 13,865.76 : x
  2. Step 2: Convert to fraction form
    22,649.20/33,935.42 = 13,865.76/x
  3. Step 3: Cross multiply
    22,649.20x = 33,935.42 × 13,865.76
  4. Step 4: Simplify right side
    22,649.20x = 470,540,423.88
  5. Step 5: Solve for x
    x = 470,540,423.88/22,649.20
  6. Step 6: Final answer
    x = 20,775.15

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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.