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Finding the Fourth Proportional to 24,644.52, 34,013.34 and 15,696

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Solution

The fourth proportional to 24,644.52, 34,013.34 and 15,696 is: 21,662.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,644.52 : 34,013.34 = 15,696 : x
  2. Step 2: Convert to fraction form
    24,644.52/34,013.34 = 15,696/x
  3. Step 3: Cross multiply
    24,644.52x = 34,013.34 × 15,696
  4. Step 4: Simplify right side
    24,644.52x = 533,873,384.64
  5. Step 5: Solve for x
    x = 533,873,384.64/24,644.52
  6. Step 6: Final answer
    x = 21,662.97

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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.