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Finding the Fourth Proportional to 23,179.76, 34,706.46 and 16,142.48

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Solution

The fourth proportional to 23,179.76, 34,706.46 and 16,142.48 is: 24,169.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,179.76 : 34,706.46 = 16,142.48 : x
  2. Step 2: Convert to fraction form
    23,179.76/34,706.46 = 16,142.48/x
  3. Step 3: Cross multiply
    23,179.76x = 34,706.46 × 16,142.48
  4. Step 4: Simplify right side
    23,179.76x = 560,248,336.42
  5. Step 5: Solve for x
    x = 560,248,336.42/23,179.76
  6. Step 6: Final answer
    x = 24,169.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.