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Finding the Fourth Proportional to 22,384.88, 33,577.32 and 5,744.91

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Solution

The fourth proportional to 22,384.88, 33,577.32 and 5,744.91 is: 8,617.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,384.88 : 33,577.32 = 5,744.91 : x
  2. Step 2: Convert to fraction form
    22,384.88/33,577.32 = 5,744.91/x
  3. Step 3: Cross multiply
    22,384.88x = 33,577.32 × 5,744.91
  4. Step 4: Simplify right side
    22,384.88x = 192,898,681.44
  5. Step 5: Solve for x
    x = 192,898,681.44/22,384.88
  6. Step 6: Final answer
    x = 8,617.37

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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.