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Finding the Fourth Proportional to 24,915.78, 34,382.04 and 14,015.55

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Solution

The fourth proportional to 24,915.78, 34,382.04 and 14,015.55 is: 19,340.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,915.78 : 34,382.04 = 14,015.55 : x
  2. Step 2: Convert to fraction form
    24,915.78/34,382.04 = 14,015.55/x
  3. Step 3: Cross multiply
    24,915.78x = 34,382.04 × 14,015.55
  4. Step 4: Simplify right side
    24,915.78x = 481,883,200.72
  5. Step 5: Solve for x
    x = 481,883,200.72/24,915.78
  6. Step 6: Final answer
    x = 19,340.48

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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.