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Finding the Fourth Proportional to 22,212.63, 33,332.07 and 8,182.50

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Solution

The fourth proportional to 22,212.63, 33,332.07 and 8,182.50 is: 12,278.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,212.63 : 33,332.07 = 8,182.50 : x
  2. Step 2: Convert to fraction form
    22,212.63/33,332.07 = 8,182.50/x
  3. Step 3: Cross multiply
    22,212.63x = 33,332.07 × 8,182.50
  4. Step 4: Simplify right side
    22,212.63x = 272,739,662.78
  5. Step 5: Solve for x
    x = 272,739,662.78/22,212.63
  6. Step 6: Final answer
    x = 12,278.58

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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.