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Finding the Fourth Proportional to 21,320.84, 31,983.46 and 8,184.20

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Solution

The fourth proportional to 21,320.84, 31,983.46 and 8,184.20 is: 12,277.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,320.84 : 31,983.46 = 8,184.20 : x
  2. Step 2: Convert to fraction form
    21,320.84/31,983.46 = 8,184.20/x
  3. Step 3: Cross multiply
    21,320.84x = 31,983.46 × 8,184.20
  4. Step 4: Simplify right side
    21,320.84x = 261,759,033.33
  5. Step 5: Solve for x
    x = 261,759,033.33/21,320.84
  6. Step 6: Final answer
    x = 12,277.14

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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.