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Finding the Fourth Proportional to 22,098.39, 33,127.92 and 8,055.78

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Solution

The fourth proportional to 22,098.39, 33,127.92 and 8,055.78 is: 12,076.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,098.39 : 33,127.92 = 8,055.78 : x
  2. Step 2: Convert to fraction form
    22,098.39/33,127.92 = 8,055.78/x
  3. Step 3: Cross multiply
    22,098.39x = 33,127.92 × 8,055.78
  4. Step 4: Simplify right side
    22,098.39x = 266,871,235.38
  5. Step 5: Solve for x
    x = 266,871,235.38/22,098.39
  6. Step 6: Final answer
    x = 12,076.50

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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.