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Finding the Fourth Proportional to 22,704.42, 31,314.34 and 14,749.21

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Solution

The fourth proportional to 22,704.42, 31,314.34 and 14,749.21 is: 20,342.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,704.42 : 31,314.34 = 14,749.21 : x
  2. Step 2: Convert to fraction form
    22,704.42/31,314.34 = 14,749.21/x
  3. Step 3: Cross multiply
    22,704.42x = 31,314.34 × 14,749.21
  4. Step 4: Simplify right side
    22,704.42x = 461,861,776.67
  5. Step 5: Solve for x
    x = 461,861,776.67/22,704.42
  6. Step 6: Final answer
    x = 20,342.37

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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.