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Finding the Fourth Proportional to 27,684.49, 38,191.31 and 18,120.17

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Solution

The fourth proportional to 27,684.49, 38,191.31 and 18,120.17 is: 24,997.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,684.49 : 38,191.31 = 18,120.17 : x
  2. Step 2: Convert to fraction form
    27,684.49/38,191.31 = 18,120.17/x
  3. Step 3: Cross multiply
    27,684.49x = 38,191.31 × 18,120.17
  4. Step 4: Simplify right side
    27,684.49x = 692,032,816.12
  5. Step 5: Solve for x
    x = 692,032,816.12/27,684.49
  6. Step 6: Final answer
    x = 24,997.13

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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.