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Finding the Fourth Proportional to 24,822.94, 34,255.66 and 13,644.94

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Solution

The fourth proportional to 24,822.94, 34,255.66 and 13,644.94 is: 18,830.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,822.94 : 34,255.66 = 13,644.94 : x
  2. Step 2: Convert to fraction form
    24,822.94/34,255.66 = 13,644.94/x
  3. Step 3: Cross multiply
    24,822.94x = 34,255.66 × 13,644.94
  4. Step 4: Simplify right side
    24,822.94x = 467,416,357.14
  5. Step 5: Solve for x
    x = 467,416,357.14/24,822.94
  6. Step 6: Final answer
    x = 18,830.02

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1.5x scale

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.