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Finding the Fourth Proportional to 24,822.52, 34,256.78 and 13,644.52

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Solution

The fourth proportional to 24,822.52, 34,256.78 and 13,644.52 is: 18,830.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,822.52 : 34,256.78 = 13,644.52 : x
  2. Step 2: Convert to fraction form
    24,822.52/34,256.78 = 13,644.52/x
  3. Step 3: Cross multiply
    24,822.52x = 34,256.78 × 13,644.52
  4. Step 4: Simplify right side
    24,822.52x = 467,417,319.85
  5. Step 5: Solve for x
    x = 467,417,319.85/24,822.52
  6. Step 6: Final answer
    x = 18,830.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.