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Finding the Fourth Proportional to 22,364.78, 33,551.26 and 9,209.97

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Solution

The fourth proportional to 22,364.78, 33,551.26 and 9,209.97 is: 13,816.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,364.78 : 33,551.26 = 9,209.97 : x
  2. Step 2: Convert to fraction form
    22,364.78/33,551.26 = 9,209.97/x
  3. Step 3: Cross multiply
    22,364.78x = 33,551.26 × 9,209.97
  4. Step 4: Simplify right side
    22,364.78x = 309,006,075.04
  5. Step 5: Solve for x
    x = 309,006,075.04/22,364.78
  6. Step 6: Final answer
    x = 13,816.64

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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.