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Finding the Fourth Proportional to 22,765.38, 31,405.08 and 15,213.58

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Solution

The fourth proportional to 22,765.38, 31,405.08 and 15,213.58 is: 20,987.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,765.38 : 31,405.08 = 15,213.58 : x
  2. Step 2: Convert to fraction form
    22,765.38/31,405.08 = 15,213.58/x
  3. Step 3: Cross multiply
    22,765.38x = 31,405.08 × 15,213.58
  4. Step 4: Simplify right side
    22,765.38x = 477,783,696.99
  5. Step 5: Solve for x
    x = 477,783,696.99/22,765.38
  6. Step 6: Final answer
    x = 20,987.29

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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.