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Finding the Fourth Proportional to 15,894.39, 23,843.82 and 4,799.82

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Solution

The fourth proportional to 15,894.39, 23,843.82 and 4,799.82 is: 7,200.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894.39 : 23,843.82 = 4,799.82 : x
  2. Step 2: Convert to fraction form
    15,894.39/23,843.82 = 4,799.82/x
  3. Step 3: Cross multiply
    15,894.39x = 23,843.82 × 4,799.82
  4. Step 4: Simplify right side
    15,894.39x = 114,446,020.11
  5. Step 5: Solve for x
    x = 114,446,020.11/15,894.39
  6. Step 6: Final answer
    x = 7,200.40

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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.