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Finding the Fourth Proportional to 15,224.20, 22,835.82 and 9,026.68

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Solution

The fourth proportional to 15,224.20, 22,835.82 and 9,026.68 is: 13,539.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,224.20 : 22,835.82 = 9,026.68 : x
  2. Step 2: Convert to fraction form
    15,224.20/22,835.82 = 9,026.68/x
  3. Step 3: Cross multiply
    15,224.20x = 22,835.82 × 9,026.68
  4. Step 4: Simplify right side
    15,224.20x = 206,131,639.68
  5. Step 5: Solve for x
    x = 206,131,639.68/15,224.20
  6. Step 6: Final answer
    x = 13,539.74

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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.