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Finding the Fourth Proportional to 22,401.90, 33,610.14 and 10,716

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Solution

The fourth proportional to 22,401.90, 33,610.14 and 10,716 is: 16,077.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,401.90 : 33,610.14 = 10,716 : x
  2. Step 2: Convert to fraction form
    22,401.90/33,610.14 = 10,716/x
  3. Step 3: Cross multiply
    22,401.90x = 33,610.14 × 10,716
  4. Step 4: Simplify right side
    22,401.90x = 360,166,260.24
  5. Step 5: Solve for x
    x = 360,166,260.24/22,401.90
  6. Step 6: Final answer
    x = 16,077.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.