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Finding the Fourth Proportional to 15,894.83, 23,843.05 and 5,365.23

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Solution

The fourth proportional to 15,894.83, 23,843.05 and 5,365.23 is: 8,048.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894.83 : 23,843.05 = 5,365.23 : x
  2. Step 2: Convert to fraction form
    15,894.83/23,843.05 = 5,365.23/x
  3. Step 3: Cross multiply
    15,894.83x = 23,843.05 × 5,365.23
  4. Step 4: Simplify right side
    15,894.83x = 127,923,447.15
  5. Step 5: Solve for x
    x = 127,923,447.15/15,894.83
  6. Step 6: Final answer
    x = 8,048.12

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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.