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Finding the Fourth Proportional to 22,449.28, 33,674 and 6,866.84

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Solution

The fourth proportional to 22,449.28, 33,674 and 6,866.84 is: 10,300.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,449.28 : 33,674 = 6,866.84 : x
  2. Step 2: Convert to fraction form
    22,449.28/33,674 = 6,866.84/x
  3. Step 3: Cross multiply
    22,449.28x = 33,674 × 6,866.84
  4. Step 4: Simplify right side
    22,449.28x = 231,233,970.16
  5. Step 5: Solve for x
    x = 231,233,970.16/22,449.28
  6. Step 6: Final answer
    x = 10,300.28

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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.