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Finding the Fourth Proportional to 21,212, 31,818.07 and 7,172.14

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Solution

The fourth proportional to 21,212, 31,818.07 and 7,172.14 is: 10,758.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,212 : 31,818.07 = 7,172.14 : x
  2. Step 2: Convert to fraction form
    21,212/31,818.07 = 7,172.14/x
  3. Step 3: Cross multiply
    21,212x = 31,818.07 × 7,172.14
  4. Step 4: Simplify right side
    21,212x = 228,203,652.57
  5. Step 5: Solve for x
    x = 228,203,652.57/21,212
  6. Step 6: Final answer
    x = 10,758.23

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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.