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Finding the Fourth Proportional to 24,611.52, 36,894.24 and 13,644.48

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Solution

The fourth proportional to 24,611.52, 36,894.24 and 13,644.48 is: 20,453.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,611.52 : 36,894.24 = 13,644.48 : x
  2. Step 2: Convert to fraction form
    24,611.52/36,894.24 = 13,644.48/x
  3. Step 3: Cross multiply
    24,611.52x = 36,894.24 × 13,644.48
  4. Step 4: Simplify right side
    24,611.52x = 503,402,719.80
  5. Step 5: Solve for x
    x = 503,402,719.80/24,611.52
  6. Step 6: Final answer
    x = 20,453.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.