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Finding the Fourth Proportional to 27,829.59, 38,399.16 and 16,494.09

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Solution

The fourth proportional to 27,829.59, 38,399.16 and 16,494.09 is: 22,758.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,829.59 : 38,399.16 = 16,494.09 : x
  2. Step 2: Convert to fraction form
    27,829.59/38,399.16 = 16,494.09/x
  3. Step 3: Cross multiply
    27,829.59x = 38,399.16 × 16,494.09
  4. Step 4: Simplify right side
    27,829.59x = 633,359,200.96
  5. Step 5: Solve for x
    x = 633,359,200.96/27,829.59
  6. Step 6: Final answer
    x = 22,758.48

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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.