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Finding the Fourth Proportional to 21,516.09, 29,694.99 and 12,084.66

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Solution

The fourth proportional to 21,516.09, 29,694.99 and 12,084.66 is: 16,678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,516.09 : 29,694.99 = 12,084.66 : x
  2. Step 2: Convert to fraction form
    21,516.09/29,694.99 = 12,084.66/x
  3. Step 3: Cross multiply
    21,516.09x = 29,694.99 × 12,084.66
  4. Step 4: Simplify right side
    21,516.09x = 358,853,791.81
  5. Step 5: Solve for x
    x = 358,853,791.81/21,516.09
  6. Step 6: Final answer
    x = 16,678.39

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Why These Related Problems?

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