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Finding the Fourth Proportional to 22,704.67, 31,314.69 and 14,749.46

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Solution

The fourth proportional to 22,704.67, 31,314.69 and 14,749.46 is: 20,342.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,704.67 : 31,314.69 = 14,749.46 : x
  2. Step 2: Convert to fraction form
    22,704.67/31,314.69 = 14,749.46/x
  3. Step 3: Cross multiply
    22,704.67x = 31,314.69 × 14,749.46
  4. Step 4: Simplify right side
    22,704.67x = 461,874,767.57
  5. Step 5: Solve for x
    x = 461,874,767.57/22,704.67
  6. Step 6: Final answer
    x = 20,342.72

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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.