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Finding the Fourth Proportional to 21,694.14, 29,916.36 and 16,329.42

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Solution

The fourth proportional to 21,694.14, 29,916.36 and 16,329.42 is: 22,518.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,694.14 : 29,916.36 = 16,329.42 : x
  2. Step 2: Convert to fraction form
    21,694.14/29,916.36 = 16,329.42/x
  3. Step 3: Cross multiply
    21,694.14x = 29,916.36 × 16,329.42
  4. Step 4: Simplify right side
    21,694.14x = 488,516,807.31
  5. Step 5: Solve for x
    x = 488,516,807.31/21,694.14
  6. Step 6: Final answer
    x = 22,518.38

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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.