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Finding the Fourth Proportional to 27,419.20, 37,845.12 and 16,091.20

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Solution

The fourth proportional to 27,419.20, 37,845.12 and 16,091.20 is: 22,209.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,419.20 : 37,845.12 = 16,091.20 : x
  2. Step 2: Convert to fraction form
    27,419.20/37,845.12 = 16,091.20/x
  3. Step 3: Cross multiply
    27,419.20x = 37,845.12 × 16,091.20
  4. Step 4: Simplify right side
    27,419.20x = 608,973,394.94
  5. Step 5: Solve for x
    x = 608,973,394.94/27,419.20
  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.