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Finding the Fourth Proportional to 15,456.93, 23,191.92 and 7,566.41

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Solution

The fourth proportional to 15,456.93, 23,191.92 and 7,566.41 is: 11,352.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,456.93 : 23,191.92 = 7,566.41 : x
  2. Step 2: Convert to fraction form
    15,456.93/23,191.92 = 7,566.41/x
  3. Step 3: Cross multiply
    15,456.93x = 23,191.92 × 7,566.41
  4. Step 4: Simplify right side
    15,456.93x = 175,479,633.39
  5. Step 5: Solve for x
    x = 175,479,633.39/15,456.93
  6. Step 6: Final answer
    x = 11,352.82

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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.