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Finding the Fourth Proportional to 26,782, 36,958.14 and 14,845.52

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Solution

The fourth proportional to 26,782, 36,958.14 and 14,845.52 is: 20,486.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,782 : 36,958.14 = 14,845.52 : x
  2. Step 2: Convert to fraction form
    26,782/36,958.14 = 14,845.52/x
  3. Step 3: Cross multiply
    26,782x = 36,958.14 × 14,845.52
  4. Step 4: Simplify right side
    26,782x = 548,662,806.53
  5. Step 5: Solve for x
    x = 548,662,806.53/26,782
  6. Step 6: Final answer
    x = 20,486.25

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