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Finding the Fourth Proportional to 20,736, 31,047.30 and 14,502.24

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Solution

The fourth proportional to 20,736, 31,047.30 and 14,502.24 is: 21,713.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,736 : 31,047.30 = 14,502.24 : x
  2. Step 2: Convert to fraction form
    20,736/31,047.30 = 14,502.24/x
  3. Step 3: Cross multiply
    20,736x = 31,047.30 × 14,502.24
  4. Step 4: Simplify right side
    20,736x = 450,255,395.95
  5. Step 5: Solve for x
    x = 450,255,395.95/20,736
  6. Step 6: Final answer
    x = 21,713.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.