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Finding the Fourth Proportional to 15,865.95, 21,896.38 and 9,153.80

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Solution

The fourth proportional to 15,865.95, 21,896.38 and 9,153.80 is: 12,633.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,865.95 : 21,896.38 = 9,153.80 : x
  2. Step 2: Convert to fraction form
    15,865.95/21,896.38 = 9,153.80/x
  3. Step 3: Cross multiply
    15,865.95x = 21,896.38 × 9,153.80
  4. Step 4: Simplify right side
    15,865.95x = 200,435,067.32
  5. Step 5: Solve for x
    x = 200,435,067.32/15,865.95
  6. Step 6: Final answer
    x = 12,633.03

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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.