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Finding the Fourth Proportional to 15,862.24, 21,893 and 9,147.64

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Solution

The fourth proportional to 15,862.24, 21,893 and 9,147.64 is: 12,625.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,862.24 : 21,893 = 9,147.64 : x
  2. Step 2: Convert to fraction form
    15,862.24/21,893 = 9,147.64/x
  3. Step 3: Cross multiply
    15,862.24x = 21,893 × 9,147.64
  4. Step 4: Simplify right side
    15,862.24x = 200,269,282.52
  5. Step 5: Solve for x
    x = 200,269,282.52/15,862.24
  6. Step 6: Final answer
    x = 12,625.54

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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.