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Finding the Fourth Proportional to 21,212.70, 31,770.60 and 10,127.17

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Solution

The fourth proportional to 21,212.70, 31,770.60 and 10,127.17 is: 15,167.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,212.70 : 31,770.60 = 10,127.17 : x
  2. Step 2: Convert to fraction form
    21,212.70/31,770.60 = 10,127.17/x
  3. Step 3: Cross multiply
    21,212.70x = 31,770.60 × 10,127.17
  4. Step 4: Simplify right side
    21,212.70x = 321,746,267.20
  5. Step 5: Solve for x
    x = 321,746,267.20/21,212.70
  6. Step 6: Final answer
    x = 15,167.62

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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.