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Finding the Fourth Proportional to 27,672.39, 38,188.32 and 15,097.14

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Solution

The fourth proportional to 27,672.39, 38,188.32 and 15,097.14 is: 20,834.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,672.39 : 38,188.32 = 15,097.14 : x
  2. Step 2: Convert to fraction form
    27,672.39/38,188.32 = 15,097.14/x
  3. Step 3: Cross multiply
    27,672.39x = 38,188.32 × 15,097.14
  4. Step 4: Simplify right side
    27,672.39x = 576,534,413.40
  5. Step 5: Solve for x
    x = 576,534,413.40/27,672.39
  6. Step 6: Final answer
    x = 20,834.28

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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.