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Finding the Fourth Proportional to 23,291.49, 34,926.54 and 7,493.61

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Solution

The fourth proportional to 23,291.49, 34,926.54 and 7,493.61 is: 11,236.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,291.49 : 34,926.54 = 7,493.61 : x
  2. Step 2: Convert to fraction form
    23,291.49/34,926.54 = 7,493.61/x
  3. Step 3: Cross multiply
    23,291.49x = 34,926.54 × 7,493.61
  4. Step 4: Simplify right side
    23,291.49x = 261,725,869.41
  5. Step 5: Solve for x
    x = 261,725,869.41/23,291.49
  6. Step 6: Final answer
    x = 11,236.97

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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.