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Finding the Fourth Proportional to 14,172.33, 21,214.74 and 9,231.33

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Solution

The fourth proportional to 14,172.33, 21,214.74 and 9,231.33 is: 13,818.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,172.33 : 21,214.74 = 9,231.33 : x
  2. Step 2: Convert to fraction form
    14,172.33/21,214.74 = 9,231.33/x
  3. Step 3: Cross multiply
    14,172.33x = 21,214.74 × 9,231.33
  4. Step 4: Simplify right side
    14,172.33x = 195,840,265.80
  5. Step 5: Solve for x
    x = 195,840,265.80/14,172.33
  6. Step 6: Final answer
    x = 13,818.49

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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.