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Finding the Fourth Proportional to 19,633.86, 27,094.32 and 10,681.20

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Solution

The fourth proportional to 19,633.86, 27,094.32 and 10,681.20 is: 14,739.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,633.86 : 27,094.32 = 10,681.20 : x
  2. Step 2: Convert to fraction form
    19,633.86/27,094.32 = 10,681.20/x
  3. Step 3: Cross multiply
    19,633.86x = 27,094.32 × 10,681.20
  4. Step 4: Simplify right side
    19,633.86x = 289,399,850.78
  5. Step 5: Solve for x
    x = 289,399,850.78/19,633.86
  6. Step 6: Final answer
    x = 14,739.83

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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.