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Finding the Fourth Proportional to 27,726.02, 38,252.31 and 21,698

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Solution

The fourth proportional to 27,726.02, 38,252.31 and 21,698 is: 29,935.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,726.02 : 38,252.31 = 21,698 : x
  2. Step 2: Convert to fraction form
    27,726.02/38,252.31 = 21,698/x
  3. Step 3: Cross multiply
    27,726.02x = 38,252.31 × 21,698
  4. Step 4: Simplify right side
    27,726.02x = 829,998,622.38
  5. Step 5: Solve for x
    x = 829,998,622.38/27,726.02
  6. Step 6: Final answer
    x = 29,935.73

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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.