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Finding the Fourth Proportional to 27,178.82, 37,507.14 and 16,422.20

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Solution

The fourth proportional to 27,178.82, 37,507.14 and 16,422.20 is: 22,662.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,178.82 : 37,507.14 = 16,422.20 : x
  2. Step 2: Convert to fraction form
    27,178.82/37,507.14 = 16,422.20/x
  3. Step 3: Cross multiply
    27,178.82x = 37,507.14 × 16,422.20
  4. Step 4: Simplify right side
    27,178.82x = 615,949,754.51
  5. Step 5: Solve for x
    x = 615,949,754.51/27,178.82
  6. Step 6: Final answer
    x = 22,662.86

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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.