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Finding the Fourth Proportional to 22,380.56, 33,575.16 and 7,592

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Solution

The fourth proportional to 22,380.56, 33,575.16 and 7,592 is: 11,389.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,380.56 : 33,575.16 = 7,592 : x
  2. Step 2: Convert to fraction form
    22,380.56/33,575.16 = 7,592/x
  3. Step 3: Cross multiply
    22,380.56x = 33,575.16 × 7,592
  4. Step 4: Simplify right side
    22,380.56x = 254,902,614.72
  5. Step 5: Solve for x
    x = 254,902,614.72/22,380.56
  6. Step 6: Final answer
    x = 11,389.47

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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.