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Finding the Fourth Proportional to 24,498.24, 33,815.28 and 13,894.92

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Solution

The fourth proportional to 24,498.24, 33,815.28 and 13,894.92 is: 19,179.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,498.24 : 33,815.28 = 13,894.92 : x
  2. Step 2: Convert to fraction form
    24,498.24/33,815.28 = 13,894.92/x
  3. Step 3: Cross multiply
    24,498.24x = 33,815.28 × 13,894.92
  4. Step 4: Simplify right side
    24,498.24x = 469,860,610.38
  5. Step 5: Solve for x
    x = 469,860,610.38/24,498.24
  6. Step 6: Final answer
    x = 19,179.36

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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.