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Finding the Fourth Proportional to 22,448.12, 33,642.81 and 16,228.94

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Solution

The fourth proportional to 22,448.12, 33,642.81 and 16,228.94 is: 24,322.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,448.12 : 33,642.81 = 16,228.94 : x
  2. Step 2: Convert to fraction form
    22,448.12/33,642.81 = 16,228.94/x
  3. Step 3: Cross multiply
    22,448.12x = 33,642.81 × 16,228.94
  4. Step 4: Simplify right side
    22,448.12x = 545,986,976.71
  5. Step 5: Solve for x
    x = 545,986,976.71/22,448.12
  6. Step 6: Final answer
    x = 24,322.17

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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.