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Finding the Fourth Proportional to 24,655, 36,982.52 and 8,239

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Solution

The fourth proportional to 24,655, 36,982.52 and 8,239 is: 12,358.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,655 : 36,982.52 = 8,239 : x
  2. Step 2: Convert to fraction form
    24,655/36,982.52 = 8,239/x
  3. Step 3: Cross multiply
    24,655x = 36,982.52 × 8,239
  4. Step 4: Simplify right side
    24,655x = 304,698,982.28
  5. Step 5: Solve for x
    x = 304,698,982.28/24,655
  6. Step 6: Final answer
    x = 12,358.51

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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.