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Finding the Fourth Proportional to 27,584.25, 38,066.88 and 15,009

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Solution

The fourth proportional to 27,584.25, 38,066.88 and 15,009 is: 20,712.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,584.25 : 38,066.88 = 15,009 : x
  2. Step 2: Convert to fraction form
    27,584.25/38,066.88 = 15,009/x
  3. Step 3: Cross multiply
    27,584.25x = 38,066.88 × 15,009
  4. Step 4: Simplify right side
    27,584.25x = 571,345,801.92
  5. Step 5: Solve for x
    x = 571,345,801.92/27,584.25
  6. Step 6: Final answer
    x = 20,712.75

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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.