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Finding the Fourth Proportional to 21,222.25, 31,848 and 7,371.25

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Solution

The fourth proportional to 21,222.25, 31,848 and 7,371.25 is: 11,061.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,222.25 : 31,848 = 7,371.25 : x
  2. Step 2: Convert to fraction form
    21,222.25/31,848 = 7,371.25/x
  3. Step 3: Cross multiply
    21,222.25x = 31,848 × 7,371.25
  4. Step 4: Simplify right side
    21,222.25x = 234,759,570
  5. Step 5: Solve for x
    x = 234,759,570/21,222.25
  6. Step 6: Final answer
    x = 11,061.95

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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.