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Finding the Fourth Proportional to 23,315.46, 32,174.52 and 12,704.88

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Solution

The fourth proportional to 23,315.46, 32,174.52 and 12,704.88 is: 17,532.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,315.46 : 32,174.52 = 12,704.88 : x
  2. Step 2: Convert to fraction form
    23,315.46/32,174.52 = 12,704.88/x
  3. Step 3: Cross multiply
    23,315.46x = 32,174.52 × 12,704.88
  4. Step 4: Simplify right side
    23,315.46x = 408,773,415.66
  5. Step 5: Solve for x
    x = 408,773,415.66/23,315.46
  6. Step 6: Final answer
    x = 17,532.29

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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.