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Finding the Fourth Proportional to 22,422.87, 33,633.99 and 7,642.10

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Solution

The fourth proportional to 22,422.87, 33,633.99 and 7,642.10 is: 11,463.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,422.87 : 33,633.99 = 7,642.10 : x
  2. Step 2: Convert to fraction form
    22,422.87/33,633.99 = 7,642.10/x
  3. Step 3: Cross multiply
    22,422.87x = 33,633.99 × 7,642.10
  4. Step 4: Simplify right side
    22,422.87x = 257,034,399.06
  5. Step 5: Solve for x
    x = 257,034,399.06/22,422.87
  6. Step 6: Final answer
    x = 11,463.05

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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.