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Finding the Fourth Proportional to 15,380.61, 22,986.62 and 11,229.36

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Solution

The fourth proportional to 15,380.61, 22,986.62 and 11,229.36 is: 16,782.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,380.61 : 22,986.62 = 11,229.36 : x
  2. Step 2: Convert to fraction form
    15,380.61/22,986.62 = 11,229.36/x
  3. Step 3: Cross multiply
    15,380.61x = 22,986.62 × 11,229.36
  4. Step 4: Simplify right side
    15,380.61x = 258,124,920.40
  5. Step 5: Solve for x
    x = 258,124,920.40/15,380.61
  6. Step 6: Final answer
    x = 16,782.49

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.