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Finding the Fourth Proportional to 15,227.83, 22,826.25 and 10,297.99

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Solution

The fourth proportional to 15,227.83, 22,826.25 and 10,297.99 is: 15,436.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,227.83 : 22,826.25 = 10,297.99 : x
  2. Step 2: Convert to fraction form
    15,227.83/22,826.25 = 10,297.99/x
  3. Step 3: Cross multiply
    15,227.83x = 22,826.25 × 10,297.99
  4. Step 4: Simplify right side
    15,227.83x = 235,064,494.24
  5. Step 5: Solve for x
    x = 235,064,494.24/15,227.83
  6. Step 6: Final answer
    x = 15,436.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.