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Finding the Fourth Proportional to 18,642.96, 25,727.14 and 10,578.16

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Solution

The fourth proportional to 18,642.96, 25,727.14 and 10,578.16 is: 14,597.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642.96 : 25,727.14 = 10,578.16 : x
  2. Step 2: Convert to fraction form
    18,642.96/25,727.14 = 10,578.16/x
  3. Step 3: Cross multiply
    18,642.96x = 25,727.14 × 10,578.16
  4. Step 4: Simplify right side
    18,642.96x = 272,145,803.26
  5. Step 5: Solve for x
    x = 272,145,803.26/18,642.96
  6. Step 6: Final answer
    x = 14,597.78

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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.