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Finding the Fourth Proportional to 27,694.71, 38,210.43 and 16,365.24

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Solution

The fourth proportional to 27,694.71, 38,210.43 and 16,365.24 is: 22,579.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,694.71 : 38,210.43 = 16,365.24 : x
  2. Step 2: Convert to fraction form
    27,694.71/38,210.43 = 16,365.24/x
  3. Step 3: Cross multiply
    27,694.71x = 38,210.43 × 16,365.24
  4. Step 4: Simplify right side
    27,694.71x = 625,322,918.82
  5. Step 5: Solve for x
    x = 625,322,918.82/27,694.71
  6. Step 6: Final answer
    x = 22,579.15

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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.