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Finding the Fourth Proportional to 21,516.69, 29,694.35 and 12,085.25

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Solution

The fourth proportional to 21,516.69, 29,694.35 and 12,085.25 is: 16,678.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,516.69 : 29,694.35 = 12,085.25 : x
  2. Step 2: Convert to fraction form
    21,516.69/29,694.35 = 12,085.25/x
  3. Step 3: Cross multiply
    21,516.69x = 29,694.35 × 12,085.25
  4. Step 4: Simplify right side
    21,516.69x = 358,863,643.34
  5. Step 5: Solve for x
    x = 358,863,643.34/21,516.69
  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.