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Finding the Fourth Proportional to 21,634, 29,854.92 and 11,698

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Solution

The fourth proportional to 21,634, 29,854.92 and 11,698 is: 16,143.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,634 : 29,854.92 = 11,698 : x
  2. Step 2: Convert to fraction form
    21,634/29,854.92 = 11,698/x
  3. Step 3: Cross multiply
    21,634x = 29,854.92 × 11,698
  4. Step 4: Simplify right side
    21,634x = 349,242,854.16
  5. Step 5: Solve for x
    x = 349,242,854.16/21,634
  6. Step 6: Final answer
    x = 16,143.24

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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.