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Finding the Fourth Proportional to 22,438.50, 33,662.61 and 8,587.50

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Solution

The fourth proportional to 22,438.50, 33,662.61 and 8,587.50 is: 12,883.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,438.50 : 33,662.61 = 8,587.50 : x
  2. Step 2: Convert to fraction form
    22,438.50/33,662.61 = 8,587.50/x
  3. Step 3: Cross multiply
    22,438.50x = 33,662.61 × 8,587.50
  4. Step 4: Simplify right side
    22,438.50x = 289,077,663.38
  5. Step 5: Solve for x
    x = 289,077,663.38/22,438.50
  6. Step 6: Final answer
    x = 12,883.11

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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.