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Finding the Fourth Proportional to 22,448.19, 33,672.29 and 6,865.68

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Solution

The fourth proportional to 22,448.19, 33,672.29 and 6,865.68 is: 10,298.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,448.19 : 33,672.29 = 6,865.68 : x
  2. Step 2: Convert to fraction form
    22,448.19/33,672.29 = 6,865.68/x
  3. Step 3: Cross multiply
    22,448.19x = 33,672.29 × 6,865.68
  4. Step 4: Simplify right side
    22,448.19x = 231,183,133.68
  5. Step 5: Solve for x
    x = 231,183,133.68/22,448.19
  6. Step 6: Final answer
    x = 10,298.52

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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.