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Finding the Fourth Proportional to 22,603.44, 31,194.60 and 12,535.04

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Solution

The fourth proportional to 22,603.44, 31,194.60 and 12,535.04 is: 17,299.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,603.44 : 31,194.60 = 12,535.04 : x
  2. Step 2: Convert to fraction form
    22,603.44/31,194.60 = 12,535.04/x
  3. Step 3: Cross multiply
    22,603.44x = 31,194.60 × 12,535.04
  4. Step 4: Simplify right side
    22,603.44x = 391,025,558.78
  5. Step 5: Solve for x
    x = 391,025,558.78/22,603.44
  6. Step 6: Final answer
    x = 17,299.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.