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Finding the Fourth Proportional to 22,464.90, 33,689.84 and 7,468.56

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Solution

The fourth proportional to 22,464.90, 33,689.84 and 7,468.56 is: 11,200.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,464.90 : 33,689.84 = 7,468.56 : x
  2. Step 2: Convert to fraction form
    22,464.90/33,689.84 = 7,468.56/x
  3. Step 3: Cross multiply
    22,464.90x = 33,689.84 × 7,468.56
  4. Step 4: Simplify right side
    22,464.90x = 251,614,554.09
  5. Step 5: Solve for x
    x = 251,614,554.09/22,464.90
  6. Step 6: Final answer
    x = 11,200.34

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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.