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Finding the Fourth Proportional to 22,764.93, 34,151.04 and 9,617.42

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Solution

The fourth proportional to 22,764.93, 34,151.04 and 9,617.42 is: 14,427.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,764.93 : 34,151.04 = 9,617.42 : x
  2. Step 2: Convert to fraction form
    22,764.93/34,151.04 = 9,617.42/x
  3. Step 3: Cross multiply
    22,764.93x = 34,151.04 × 9,617.42
  4. Step 4: Simplify right side
    22,764.93x = 328,444,724.36
  5. Step 5: Solve for x
    x = 328,444,724.36/22,764.93
  6. Step 6: Final answer
    x = 14,427.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.