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Finding the Fourth Proportional to 22,018.50, 33,032.61 and 8,167.50

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Solution

The fourth proportional to 22,018.50, 33,032.61 and 8,167.50 is: 12,253.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,018.50 : 33,032.61 = 8,167.50 : x
  2. Step 2: Convert to fraction form
    22,018.50/33,032.61 = 8,167.50/x
  3. Step 3: Cross multiply
    22,018.50x = 33,032.61 × 8,167.50
  4. Step 4: Simplify right side
    22,018.50x = 269,793,842.18
  5. Step 5: Solve for x
    x = 269,793,842.18/22,018.50
  6. Step 6: Final answer
    x = 12,253.05

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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.