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Finding the Fourth Proportional to 23,806, 32,806.98 and 17,434.54

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Solution

The fourth proportional to 23,806, 32,806.98 and 17,434.54 is: 24,026.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,806 : 32,806.98 = 17,434.54 : x
  2. Step 2: Convert to fraction form
    23,806/32,806.98 = 17,434.54/x
  3. Step 3: Cross multiply
    23,806x = 32,806.98 × 17,434.54
  4. Step 4: Simplify right side
    23,806x = 571,974,605.09
  5. Step 5: Solve for x
    x = 571,974,605.09/23,806
  6. Step 6: Final answer
    x = 24,026.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.