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Finding the Fourth Proportional to 28,049.91, 38,721.77 and 24,206.26

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Solution

The fourth proportional to 28,049.91, 38,721.77 and 24,206.26 is: 33,415.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,049.91 : 38,721.77 = 24,206.26 : x
  2. Step 2: Convert to fraction form
    28,049.91/38,721.77 = 24,206.26/x
  3. Step 3: Cross multiply
    28,049.91x = 38,721.77 × 24,206.26
  4. Step 4: Simplify right side
    28,049.91x = 937,309,111.25
  5. Step 5: Solve for x
    x = 937,309,111.25/28,049.91
  6. Step 6: Final answer
    x = 33,415.76

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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.