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Finding the Fourth Proportional to 21,147.84, 31,723.91 and 7,824.36

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Solution

The fourth proportional to 21,147.84, 31,723.91 and 7,824.36 is: 11,737.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,147.84 : 31,723.91 = 7,824.36 : x
  2. Step 2: Convert to fraction form
    21,147.84/31,723.91 = 7,824.36/x
  3. Step 3: Cross multiply
    21,147.84x = 31,723.91 × 7,824.36
  4. Step 4: Simplify right side
    21,147.84x = 248,219,163.70
  5. Step 5: Solve for x
    x = 248,219,163.70/21,147.84
  6. Step 6: Final answer
    x = 11,737.33

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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.