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Finding the Fourth Proportional to 15,205.93, 22,766.91 and 7,794.43

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Solution

The fourth proportional to 15,205.93, 22,766.91 and 7,794.43 is: 11,670.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,205.93 : 22,766.91 = 7,794.43 : x
  2. Step 2: Convert to fraction form
    15,205.93/22,766.91 = 7,794.43/x
  3. Step 3: Cross multiply
    15,205.93x = 22,766.91 × 7,794.43
  4. Step 4: Simplify right side
    15,205.93x = 177,455,086.31
  5. Step 5: Solve for x
    x = 177,455,086.31/15,205.93
  6. Step 6: Final answer
    x = 11,670.12

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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.