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Finding the Fourth Proportional to 15,843.12, 21,868.38 and 9,133.24

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Solution

The fourth proportional to 15,843.12, 21,868.38 and 9,133.24 is: 12,606.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,843.12 : 21,868.38 = 9,133.24 : x
  2. Step 2: Convert to fraction form
    15,843.12/21,868.38 = 9,133.24/x
  3. Step 3: Cross multiply
    15,843.12x = 21,868.38 × 9,133.24
  4. Step 4: Simplify right side
    15,843.12x = 199,729,162.95
  5. Step 5: Solve for x
    x = 199,729,162.95/15,843.12
  6. Step 6: Final answer
    x = 12,606.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.