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Finding the Fourth Proportional to 26,776.34, 36,950.47 and 16,164.12

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Solution

The fourth proportional to 26,776.34, 36,950.47 and 16,164.12 is: 22,305.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,776.34 : 36,950.47 = 16,164.12 : x
  2. Step 2: Convert to fraction form
    26,776.34/36,950.47 = 16,164.12/x
  3. Step 3: Cross multiply
    26,776.34x = 36,950.47 × 16,164.12
  4. Step 4: Simplify right side
    26,776.34x = 597,271,790.73
  5. Step 5: Solve for x
    x = 597,271,790.73/26,776.34
  6. Step 6: Final answer
    x = 22,305.96

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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.