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Finding the Fourth Proportional to 26,619.34, 36,734.86 and 14,683

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Solution

The fourth proportional to 26,619.34, 36,734.86 and 14,683 is: 20,262.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,619.34 : 36,734.86 = 14,683 : x
  2. Step 2: Convert to fraction form
    26,619.34/36,734.86 = 14,683/x
  3. Step 3: Cross multiply
    26,619.34x = 36,734.86 × 14,683
  4. Step 4: Simplify right side
    26,619.34x = 539,377,949.38
  5. Step 5: Solve for x
    x = 539,377,949.38/26,619.34
  6. Step 6: Final answer
    x = 20,262.63

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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.