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Finding the Fourth Proportional to 18,738.12, 25,892.82 and 17,827.14

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Solution

The fourth proportional to 18,738.12, 25,892.82 and 17,827.14 is: 24,634.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,738.12 : 25,892.82 = 17,827.14 : x
  2. Step 2: Convert to fraction form
    18,738.12/25,892.82 = 17,827.14/x
  3. Step 3: Cross multiply
    18,738.12x = 25,892.82 × 17,827.14
  4. Step 4: Simplify right side
    18,738.12x = 461,594,927.13
  5. Step 5: Solve for x
    x = 461,594,927.13/18,738.12
  6. Step 6: Final answer
    x = 24,634.00

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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.