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Finding the Fourth Proportional to 18,642.68, 25,727.01 and 10,144.87

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Solution

The fourth proportional to 18,642.68, 25,727.01 and 10,144.87 is: 13,999.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642.68 : 25,727.01 = 10,144.87 : x
  2. Step 2: Convert to fraction form
    18,642.68/25,727.01 = 10,144.87/x
  3. Step 3: Cross multiply
    18,642.68x = 25,727.01 × 10,144.87
  4. Step 4: Simplify right side
    18,642.68x = 260,997,069.58
  5. Step 5: Solve for x
    x = 260,997,069.58/18,642.68
  6. Step 6: Final answer
    x = 13,999.98

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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.