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Finding the Fourth Proportional to 22,356.30, 33,534.76 and 5,716.47

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Solution

The fourth proportional to 22,356.30, 33,534.76 and 5,716.47 is: 8,574.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,356.30 : 33,534.76 = 5,716.47 : x
  2. Step 2: Convert to fraction form
    22,356.30/33,534.76 = 5,716.47/x
  3. Step 3: Cross multiply
    22,356.30x = 33,534.76 × 5,716.47
  4. Step 4: Simplify right side
    22,356.30x = 191,700,571.68
  5. Step 5: Solve for x
    x = 191,700,571.68/22,356.30
  6. Step 6: Final answer
    x = 8,574.79

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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.