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Finding the Fourth Proportional to 22,364.14, 33,544.14 and 7,571.34

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Solution

The fourth proportional to 22,364.14, 33,544.14 and 7,571.34 is: 11,356.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,364.14 : 33,544.14 = 7,571.34 : x
  2. Step 2: Convert to fraction form
    22,364.14/33,544.14 = 7,571.34/x
  3. Step 3: Cross multiply
    22,364.14x = 33,544.14 × 7,571.34
  4. Step 4: Simplify right side
    22,364.14x = 253,974,088.95
  5. Step 5: Solve for x
    x = 253,974,088.95/22,364.14
  6. Step 6: Final answer
    x = 11,356.31

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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.