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Finding the Fourth Proportional to 22,401.96, 33,610.20 and 10,716

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Solution

The fourth proportional to 22,401.96, 33,610.20 and 10,716 is: 16,077.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,401.96 : 33,610.20 = 10,716 : x
  2. Step 2: Convert to fraction form
    22,401.96/33,610.20 = 10,716/x
  3. Step 3: Cross multiply
    22,401.96x = 33,610.20 × 10,716
  4. Step 4: Simplify right side
    22,401.96x = 360,166,903.20
  5. Step 5: Solve for x
    x = 360,166,903.20/22,401.96
  6. Step 6: Final answer
    x = 16,077.47

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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.