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Finding the Fourth Proportional to 23,314.86, 32,174.46 and 12,704.46

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Solution

The fourth proportional to 23,314.86, 32,174.46 and 12,704.46 is: 17,532.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,314.86 : 32,174.46 = 12,704.46 : x
  2. Step 2: Convert to fraction form
    23,314.86/32,174.46 = 12,704.46/x
  3. Step 3: Cross multiply
    23,314.86x = 32,174.46 × 12,704.46
  4. Step 4: Simplify right side
    23,314.86x = 408,759,140.09
  5. Step 5: Solve for x
    x = 408,759,140.09/23,314.86
  6. Step 6: Final answer
    x = 17,532.13

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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.