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Finding the Fourth Proportional to 27,513.76, 37,969.14 and 16,183.74

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Solution

The fourth proportional to 27,513.76, 37,969.14 and 16,183.74 is: 22,333.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,513.76 : 37,969.14 = 16,183.74 : x
  2. Step 2: Convert to fraction form
    27,513.76/37,969.14 = 16,183.74/x
  3. Step 3: Cross multiply
    27,513.76x = 37,969.14 × 16,183.74
  4. Step 4: Simplify right side
    27,513.76x = 614,482,689.78
  5. Step 5: Solve for x
    x = 614,482,689.78/27,513.76
  6. Step 6: Final answer
    x = 22,333.65

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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.