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Finding the Fourth Proportional to 22,272.95, 33,409.88 and 8,225.74

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Solution

The fourth proportional to 22,272.95, 33,409.88 and 8,225.74 is: 12,338.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,272.95 : 33,409.88 = 8,225.74 : x
  2. Step 2: Convert to fraction form
    22,272.95/33,409.88 = 8,225.74/x
  3. Step 3: Cross multiply
    22,272.95x = 33,409.88 × 8,225.74
  4. Step 4: Simplify right side
    22,272.95x = 274,821,017.79
  5. Step 5: Solve for x
    x = 274,821,017.79/22,272.95
  6. Step 6: Final answer
    x = 12,338.78

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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.