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Finding the Fourth Proportional to 22,441.71, 33,663.12 and 10,742.07

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Solution

The fourth proportional to 22,441.71, 33,663.12 and 10,742.07 is: 16,113.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,441.71 : 33,663.12 = 10,742.07 : x
  2. Step 2: Convert to fraction form
    22,441.71/33,663.12 = 10,742.07/x
  3. Step 3: Cross multiply
    22,441.71x = 33,663.12 × 10,742.07
  4. Step 4: Simplify right side
    22,441.71x = 361,611,591.46
  5. Step 5: Solve for x
    x = 361,611,591.46/22,441.71
  6. Step 6: Final answer
    x = 16,113.37

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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.