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Finding the Fourth Proportional to 26,764, 36,933.49 and 14,827.07

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Solution

The fourth proportional to 26,764, 36,933.49 and 14,827.07 is: 20,460.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,764 : 36,933.49 = 14,827.07 : x
  2. Step 2: Convert to fraction form
    26,764/36,933.49 = 14,827.07/x
  3. Step 3: Cross multiply
    26,764x = 36,933.49 × 14,827.07
  4. Step 4: Simplify right side
    26,764x = 547,615,441.57
  5. Step 5: Solve for x
    x = 547,615,441.57/26,764
  6. Step 6: Final answer
    x = 20,460.90

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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.