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Finding the Fourth Proportional to 14,611.70, 21,891.62 and 9,972.02

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Solution

The fourth proportional to 14,611.70, 21,891.62 and 9,972.02 is: 14,940.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,611.70 : 21,891.62 = 9,972.02 : x
  2. Step 2: Convert to fraction form
    14,611.70/21,891.62 = 9,972.02/x
  3. Step 3: Cross multiply
    14,611.70x = 21,891.62 × 9,972.02
  4. Step 4: Simplify right side
    14,611.70x = 218,303,672.47
  5. Step 5: Solve for x
    x = 218,303,672.47/14,611.70
  6. Step 6: Final answer
    x = 14,940.33

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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.