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Finding the Fourth Proportional to 18,577.84, 25,637.34 and 10,194.16

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Solution

The fourth proportional to 18,577.84, 25,637.34 and 10,194.16 is: 14,067.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,577.84 : 25,637.34 = 10,194.16 : x
  2. Step 2: Convert to fraction form
    18,577.84/25,637.34 = 10,194.16/x
  3. Step 3: Cross multiply
    18,577.84x = 25,637.34 × 10,194.16
  4. Step 4: Simplify right side
    18,577.84x = 261,351,145.93
  5. Step 5: Solve for x
    x = 261,351,145.93/18,577.84
  6. Step 6: Final answer
    x = 14,067.90

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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.