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Finding the Fourth Proportional to 28,257.36, 38,997 and 15,682.14

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Solution

The fourth proportional to 28,257.36, 38,997 and 15,682.14 is: 21,642.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,257.36 : 38,997 = 15,682.14 : x
  2. Step 2: Convert to fraction form
    28,257.36/38,997 = 15,682.14/x
  3. Step 3: Cross multiply
    28,257.36x = 38,997 × 15,682.14
  4. Step 4: Simplify right side
    28,257.36x = 611,556,413.58
  5. Step 5: Solve for x
    x = 611,556,413.58/28,257.36
  6. Step 6: Final answer
    x = 21,642.38

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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.