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Finding the Fourth Proportional to 21,324.68, 31,981.44 and 8,848.24

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Solution

The fourth proportional to 21,324.68, 31,981.44 and 8,848.24 is: 13,270.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,324.68 : 31,981.44 = 8,848.24 : x
  2. Step 2: Convert to fraction form
    21,324.68/31,981.44 = 8,848.24/x
  3. Step 3: Cross multiply
    21,324.68x = 31,981.44 × 8,848.24
  4. Step 4: Simplify right side
    21,324.68x = 282,979,456.67
  5. Step 5: Solve for x
    x = 282,979,456.67/21,324.68
  6. Step 6: Final answer
    x = 13,270.04

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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.