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Finding the Fourth Proportional to 15,843.84, 21,861.12 and 9,216

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Solution

The fourth proportional to 15,843.84, 21,861.12 and 9,216 is: 12,716.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,843.84 : 21,861.12 = 9,216 : x
  2. Step 2: Convert to fraction form
    15,843.84/21,861.12 = 9,216/x
  3. Step 3: Cross multiply
    15,843.84x = 21,861.12 × 9,216
  4. Step 4: Simplify right side
    15,843.84x = 201,472,081.92
  5. Step 5: Solve for x
    x = 201,472,081.92/15,843.84
  6. Step 6: Final answer
    x = 12,716.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.