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Finding the Fourth Proportional to 22,458.66, 33,691.46 and 7,664.12

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Solution

The fourth proportional to 22,458.66, 33,691.46 and 7,664.12 is: 11,497.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,458.66 : 33,691.46 = 7,664.12 : x
  2. Step 2: Convert to fraction form
    22,458.66/33,691.46 = 7,664.12/x
  3. Step 3: Cross multiply
    22,458.66x = 33,691.46 × 7,664.12
  4. Step 4: Simplify right side
    22,458.66x = 258,215,185.64
  5. Step 5: Solve for x
    x = 258,215,185.64/22,458.66
  6. Step 6: Final answer
    x = 11,497.35

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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.