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Finding the Fourth Proportional to 27,832.66, 38,407.90 and 16,346.02

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Solution

The fourth proportional to 27,832.66, 38,407.90 and 16,346.02 is: 22,556.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,832.66 : 38,407.90 = 16,346.02 : x
  2. Step 2: Convert to fraction form
    27,832.66/38,407.90 = 16,346.02/x
  3. Step 3: Cross multiply
    27,832.66x = 38,407.90 × 16,346.02
  4. Step 4: Simplify right side
    27,832.66x = 627,816,301.56
  5. Step 5: Solve for x
    x = 627,816,301.56/27,832.66
  6. Step 6: Final answer
    x = 22,556.82

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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.