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Finding the Fourth Proportional to 27,419.80, 37,846.50 and 16,090.96

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Solution

The fourth proportional to 27,419.80, 37,846.50 and 16,090.96 is: 22,209.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,419.80 : 37,846.50 = 16,090.96 : x
  2. Step 2: Convert to fraction form
    27,419.80/37,846.50 = 16,090.96/x
  3. Step 3: Cross multiply
    27,419.80x = 37,846.50 × 16,090.96
  4. Step 4: Simplify right side
    27,419.80x = 608,986,517.64
  5. Step 5: Solve for x
    x = 608,986,517.64/27,419.80
  6. Step 6: Final answer
    x = 22,209.74

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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.