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Finding the Fourth Proportional to 15,793.56, 23,669.80 and 6,422.66

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Solution

The fourth proportional to 15,793.56, 23,669.80 and 6,422.66 is: 9,625.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,793.56 : 23,669.80 = 6,422.66 : x
  2. Step 2: Convert to fraction form
    15,793.56/23,669.80 = 6,422.66/x
  3. Step 3: Cross multiply
    15,793.56x = 23,669.80 × 6,422.66
  4. Step 4: Simplify right side
    15,793.56x = 152,022,927.21
  5. Step 5: Solve for x
    x = 152,022,927.21/15,793.56
  6. Step 6: Final answer
    x = 9,625.63

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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.