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Finding the Fourth Proportional to 11,970.23, 17,951.27 and 4,472.24

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Solution

The fourth proportional to 11,970.23, 17,951.27 and 4,472.24 is: 6,706.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,970.23 : 17,951.27 = 4,472.24 : x
  2. Step 2: Convert to fraction form
    11,970.23/17,951.27 = 4,472.24/x
  3. Step 3: Cross multiply
    11,970.23x = 17,951.27 × 4,472.24
  4. Step 4: Simplify right side
    11,970.23x = 80,282,275.63
  5. Step 5: Solve for x
    x = 80,282,275.63/11,970.23
  6. Step 6: Final answer
    x = 6,706.83

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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.