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Finding the Fourth Proportional to 26,151, 39,226.50 and 7,683

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Solution

The fourth proportional to 26,151, 39,226.50 and 7,683 is: 11,524.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,151 : 39,226.50 = 7,683 : x
  2. Step 2: Convert to fraction form
    26,151/39,226.50 = 7,683/x
  3. Step 3: Cross multiply
    26,151x = 39,226.50 × 7,683
  4. Step 4: Simplify right side
    26,151x = 301,377,199.50
  5. Step 5: Solve for x
    x = 301,377,199.50/26,151
  6. Step 6: Final answer
    x = 11,524.50

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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.