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Finding the Fourth Proportional to 22,066.74, 33,074.43 and 10,195.58

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Solution

The fourth proportional to 22,066.74, 33,074.43 and 10,195.58 is: 15,281.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,066.74 : 33,074.43 = 10,195.58 : x
  2. Step 2: Convert to fraction form
    22,066.74/33,074.43 = 10,195.58/x
  3. Step 3: Cross multiply
    22,066.74x = 33,074.43 × 10,195.58
  4. Step 4: Simplify right side
    22,066.74x = 337,212,831.65
  5. Step 5: Solve for x
    x = 337,212,831.65/22,066.74
  6. Step 6: Final answer
    x = 15,281.50

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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.