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Finding the Fourth Proportional to 22,734.54, 34,101.74 and 10,239.94

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Solution

The fourth proportional to 22,734.54, 34,101.74 and 10,239.94 is: 15,359.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,734.54 : 34,101.74 = 10,239.94 : x
  2. Step 2: Convert to fraction form
    22,734.54/34,101.74 = 10,239.94/x
  3. Step 3: Cross multiply
    22,734.54x = 34,101.74 × 10,239.94
  4. Step 4: Simplify right side
    22,734.54x = 349,199,771.50
  5. Step 5: Solve for x
    x = 349,199,771.50/22,734.54
  6. Step 6: Final answer
    x = 15,359.88

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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.