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Finding the Fourth Proportional to 23,658.29, 35,486.04 and 8,865.97

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Solution

The fourth proportional to 23,658.29, 35,486.04 and 8,865.97 is: 13,298.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,658.29 : 35,486.04 = 8,865.97 : x
  2. Step 2: Convert to fraction form
    23,658.29/35,486.04 = 8,865.97/x
  3. Step 3: Cross multiply
    23,658.29x = 35,486.04 × 8,865.97
  4. Step 4: Simplify right side
    23,658.29x = 314,618,166.06
  5. Step 5: Solve for x
    x = 314,618,166.06/23,658.29
  6. Step 6: Final answer
    x = 13,298.43

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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.