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Finding the Fourth Proportional to 15,894.42, 23,815.71 and 8,092.50

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Solution

The fourth proportional to 15,894.42, 23,815.71 and 8,092.50 is: 12,125.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,894.42 : 23,815.71 = 8,092.50 : x
  2. Step 2: Convert to fraction form
    15,894.42/23,815.71 = 8,092.50/x
  3. Step 3: Cross multiply
    15,894.42x = 23,815.71 × 8,092.50
  4. Step 4: Simplify right side
    15,894.42x = 192,728,633.18
  5. Step 5: Solve for x
    x = 192,728,633.18/15,894.42
  6. Step 6: Final answer
    x = 12,125.55

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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.