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Finding the Fourth Proportional to 27,677.52, 38,194.74 and 15,102

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Solution

The fourth proportional to 27,677.52, 38,194.74 and 15,102 is: 20,840.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,677.52 : 38,194.74 = 15,102 : x
  2. Step 2: Convert to fraction form
    27,677.52/38,194.74 = 15,102/x
  3. Step 3: Cross multiply
    27,677.52x = 38,194.74 × 15,102
  4. Step 4: Simplify right side
    27,677.52x = 576,816,963.48
  5. Step 5: Solve for x
    x = 576,816,963.48/27,677.52
  6. Step 6: Final answer
    x = 20,840.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.