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Finding the Fourth Proportional to 28,421.25, 39,221.33 and 15,846

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Solution

The fourth proportional to 28,421.25, 39,221.33 and 15,846 is: 21,867.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,421.25 : 39,221.33 = 15,846 : x
  2. Step 2: Convert to fraction form
    28,421.25/39,221.33 = 15,846/x
  3. Step 3: Cross multiply
    28,421.25x = 39,221.33 × 15,846
  4. Step 4: Simplify right side
    28,421.25x = 621,501,115.95
  5. Step 5: Solve for x
    x = 621,501,115.95/28,421.25
  6. Step 6: Final answer
    x = 21,867.48

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