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Finding the Fourth Proportional to 27,644.97, 38,155.53 and 17,585.31

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Solution

The fourth proportional to 27,644.97, 38,155.53 and 17,585.31 is: 24,271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,644.97 : 38,155.53 = 17,585.31 : x
  2. Step 2: Convert to fraction form
    27,644.97/38,155.53 = 17,585.31/x
  3. Step 3: Cross multiply
    27,644.97x = 38,155.53 × 17,585.31
  4. Step 4: Simplify right side
    27,644.97x = 670,976,823.26
  5. Step 5: Solve for x
    x = 670,976,823.26/27,644.97
  6. Step 6: Final answer
    x = 24,271.21

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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.