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Finding the Fourth Proportional to 22,489.32, 33,732.36 and 6,906

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Solution

The fourth proportional to 22,489.32, 33,732.36 and 6,906 is: 10,358.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,489.32 : 33,732.36 = 6,906 : x
  2. Step 2: Convert to fraction form
    22,489.32/33,732.36 = 6,906/x
  3. Step 3: Cross multiply
    22,489.32x = 33,732.36 × 6,906
  4. Step 4: Simplify right side
    22,489.32x = 232,955,678.16
  5. Step 5: Solve for x
    x = 232,955,678.16/22,489.32
  6. Step 6: Final answer
    x = 10,358.50

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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.