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Finding the Fourth Proportional to 21,828.24, 32,745.60 and 7,974

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Solution

The fourth proportional to 21,828.24, 32,745.60 and 7,974 is: 11,962.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,828.24 : 32,745.60 = 7,974 : x
  2. Step 2: Convert to fraction form
    21,828.24/32,745.60 = 7,974/x
  3. Step 3: Cross multiply
    21,828.24x = 32,745.60 × 7,974
  4. Step 4: Simplify right side
    21,828.24x = 261,113,414.40
  5. Step 5: Solve for x
    x = 261,113,414.40/21,828.24
  6. Step 6: Final answer
    x = 11,962.18

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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.