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Finding the Fourth Proportional to 24,762.78, 34,165.17 and 15,192.84

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Solution

The fourth proportional to 24,762.78, 34,165.17 and 15,192.84 is: 20,961.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,762.78 : 34,165.17 = 15,192.84 : x
  2. Step 2: Convert to fraction form
    24,762.78/34,165.17 = 15,192.84/x
  3. Step 3: Cross multiply
    24,762.78x = 34,165.17 × 15,192.84
  4. Step 4: Simplify right side
    24,762.78x = 519,065,961.38
  5. Step 5: Solve for x
    x = 519,065,961.38/24,762.78
  6. Step 6: Final answer
    x = 20,961.54

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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.