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Finding the Fourth Proportional to 15,793.76, 23,682.36 and 7,887.80

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Solution

The fourth proportional to 15,793.76, 23,682.36 and 7,887.80 is: 11,827.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,793.76 : 23,682.36 = 7,887.80 : x
  2. Step 2: Convert to fraction form
    15,793.76/23,682.36 = 7,887.80/x
  3. Step 3: Cross multiply
    15,793.76x = 23,682.36 × 7,887.80
  4. Step 4: Simplify right side
    15,793.76x = 186,801,719.21
  5. Step 5: Solve for x
    x = 186,801,719.21/15,793.76
  6. Step 6: Final answer
    x = 11,827.56

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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.