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Finding the Fourth Proportional to 22,809.84, 34,214.76 and 7,226.25

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Solution

The fourth proportional to 22,809.84, 34,214.76 and 7,226.25 is: 10,839.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,809.84 : 34,214.76 = 7,226.25 : x
  2. Step 2: Convert to fraction form
    22,809.84/34,214.76 = 7,226.25/x
  3. Step 3: Cross multiply
    22,809.84x = 34,214.76 × 7,226.25
  4. Step 4: Simplify right side
    22,809.84x = 247,244,409.45
  5. Step 5: Solve for x
    x = 247,244,409.45/22,809.84
  6. Step 6: Final answer
    x = 10,839.38

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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.