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Finding the Fourth Proportional to 22,965.66, 34,448.67 and 6,326.61

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Solution

The fourth proportional to 22,965.66, 34,448.67 and 6,326.61 is: 9,489.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,965.66 : 34,448.67 = 6,326.61 : x
  2. Step 2: Convert to fraction form
    22,965.66/34,448.67 = 6,326.61/x
  3. Step 3: Cross multiply
    22,965.66x = 34,448.67 × 6,326.61
  4. Step 4: Simplify right side
    22,965.66x = 217,943,300.11
  5. Step 5: Solve for x
    x = 217,943,300.11/22,965.66
  6. Step 6: Final answer
    x = 9,489.96

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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.