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Finding the Fourth Proportional to 21,215.79, 31,823.33 and 7,172.82

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Solution

The fourth proportional to 21,215.79, 31,823.33 and 7,172.82 is: 10,759.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,215.79 : 31,823.33 = 7,172.82 : x
  2. Step 2: Convert to fraction form
    21,215.79/31,823.33 = 7,172.82/x
  3. Step 3: Cross multiply
    21,215.79x = 31,823.33 × 7,172.82
  4. Step 4: Simplify right side
    21,215.79x = 228,262,982.03
  5. Step 5: Solve for x
    x = 228,262,982.03/21,215.79
  6. Step 6: Final answer
    x = 10,759.11

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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.