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Finding the Fourth Proportional to 15,661.46, 23,474.64 and 11,951.40

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Solution

The fourth proportional to 15,661.46, 23,474.64 and 11,951.40 is: 17,913.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,661.46 : 23,474.64 = 11,951.40 : x
  2. Step 2: Convert to fraction form
    15,661.46/23,474.64 = 11,951.40/x
  3. Step 3: Cross multiply
    15,661.46x = 23,474.64 × 11,951.40
  4. Step 4: Simplify right side
    15,661.46x = 280,554,812.50
  5. Step 5: Solve for x
    x = 280,554,812.50/15,661.46
  6. Step 6: Final answer
    x = 17,913.71

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Why These Related Problems?

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