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Finding the Fourth Proportional to 22,532.24, 31,094.56 and 12,596.24

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Solution

The fourth proportional to 22,532.24, 31,094.56 and 12,596.24 is: 17,382.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,532.24 : 31,094.56 = 12,596.24 : x
  2. Step 2: Convert to fraction form
    22,532.24/31,094.56 = 12,596.24/x
  3. Step 3: Cross multiply
    22,532.24x = 31,094.56 × 12,596.24
  4. Step 4: Simplify right side
    22,532.24x = 391,674,540.45
  5. Step 5: Solve for x
    x = 391,674,540.45/22,532.24
  6. Step 6: Final answer
    x = 17,382.85

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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.