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Finding the Fourth Proportional to 18,425.22, 27,641.76 and 5,945.95

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Solution

The fourth proportional to 18,425.22, 27,641.76 and 5,945.95 is: 8,920.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,425.22 : 27,641.76 = 5,945.95 : x
  2. Step 2: Convert to fraction form
    18,425.22/27,641.76 = 5,945.95/x
  3. Step 3: Cross multiply
    18,425.22x = 27,641.76 × 5,945.95
  4. Step 4: Simplify right side
    18,425.22x = 164,356,522.87
  5. Step 5: Solve for x
    x = 164,356,522.87/18,425.22
  6. Step 6: Final answer
    x = 8,920.19

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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.