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Finding the Fourth Proportional to 21,218.99, 31,820.12 and 7,706.96

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Solution

The fourth proportional to 21,218.99, 31,820.12 and 7,706.96 is: 11,557.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,218.99 : 31,820.12 = 7,706.96 : x
  2. Step 2: Convert to fraction form
    21,218.99/31,820.12 = 7,706.96/x
  3. Step 3: Cross multiply
    21,218.99x = 31,820.12 × 7,706.96
  4. Step 4: Simplify right side
    21,218.99x = 245,236,564.97
  5. Step 5: Solve for x
    x = 245,236,564.97/21,218.99
  6. Step 6: Final answer
    x = 11,557.41

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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.