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Finding the Fourth Proportional to 22,358.98, 33,543.31 and 6,777.78

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Solution

The fourth proportional to 22,358.98, 33,543.31 and 6,777.78 is: 10,168.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,358.98 : 33,543.31 = 6,777.78 : x
  2. Step 2: Convert to fraction form
    22,358.98/33,543.31 = 6,777.78/x
  3. Step 3: Cross multiply
    22,358.98x = 33,543.31 × 6,777.78
  4. Step 4: Simplify right side
    22,358.98x = 227,349,175.65
  5. Step 5: Solve for x
    x = 227,349,175.65/22,358.98
  6. Step 6: Final answer
    x = 10,168.14

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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.