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Finding the Fourth Proportional to 29,694, 40,977 and 16,265.82

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Solution

The fourth proportional to 29,694, 40,977 and 16,265.82 is: 22,446.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,694 : 40,977 = 16,265.82 : x
  2. Step 2: Convert to fraction form
    29,694/40,977 = 16,265.82/x
  3. Step 3: Cross multiply
    29,694x = 40,977 × 16,265.82
  4. Step 4: Simplify right side
    29,694x = 666,524,506.14
  5. Step 5: Solve for x
    x = 666,524,506.14/29,694
  6. Step 6: Final answer
    x = 22,446.44

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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.