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Finding the Fourth Proportional to 27,692.66, 38,224.05 and 19,311.86

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Solution

The fourth proportional to 27,692.66, 38,224.05 and 19,311.86 is: 26,656.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,692.66 : 38,224.05 = 19,311.86 : x
  2. Step 2: Convert to fraction form
    27,692.66/38,224.05 = 19,311.86/x
  3. Step 3: Cross multiply
    27,692.66x = 38,224.05 × 19,311.86
  4. Step 4: Simplify right side
    27,692.66x = 738,177,502.23
  5. Step 5: Solve for x
    x = 738,177,502.23/27,692.66
  6. Step 6: Final answer
    x = 26,656.07

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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.