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Finding the Fourth Proportional to 21,167.84, 31,724.26 and 15,861.17

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Solution

The fourth proportional to 21,167.84, 31,724.26 and 15,861.17 is: 23,771.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,167.84 : 31,724.26 = 15,861.17 : x
  2. Step 2: Convert to fraction form
    21,167.84/31,724.26 = 15,861.17/x
  3. Step 3: Cross multiply
    21,167.84x = 31,724.26 × 15,861.17
  4. Step 4: Simplify right side
    21,167.84x = 503,183,880.98
  5. Step 5: Solve for x
    x = 503,183,880.98/21,167.84
  6. Step 6: Final answer
    x = 23,771.15

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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.