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Finding the Fourth Proportional to 21,571.70, 29,778.13 and 14,502.22

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Solution

The fourth proportional to 21,571.70, 29,778.13 and 14,502.22 is: 20,019.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,571.70 : 29,778.13 = 14,502.22 : x
  2. Step 2: Convert to fraction form
    21,571.70/29,778.13 = 14,502.22/x
  3. Step 3: Cross multiply
    21,571.70x = 29,778.13 × 14,502.22
  4. Step 4: Simplify right side
    21,571.70x = 431,848,965.50
  5. Step 5: Solve for x
    x = 431,848,965.50/21,571.70
  6. Step 6: Final answer
    x = 20,019.24

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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.