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Finding the Fourth Proportional to 21,144.84, 31,717.62 and 8,003.40

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Solution

The fourth proportional to 21,144.84, 31,717.62 and 8,003.40 is: 12,005.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,144.84 : 31,717.62 = 8,003.40 : x
  2. Step 2: Convert to fraction form
    21,144.84/31,717.62 = 8,003.40/x
  3. Step 3: Cross multiply
    21,144.84x = 31,717.62 × 8,003.40
  4. Step 4: Simplify right side
    21,144.84x = 253,848,799.91
  5. Step 5: Solve for x
    x = 253,848,799.91/21,144.84
  6. Step 6: Final answer
    x = 12,005.24

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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.