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Finding the Fourth Proportional to 27,164.12, 37,488.90 and 15,833

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Solution

The fourth proportional to 27,164.12, 37,488.90 and 15,833 is: 21,850.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,164.12 : 37,488.90 = 15,833 : x
  2. Step 2: Convert to fraction form
    27,164.12/37,488.90 = 15,833/x
  3. Step 3: Cross multiply
    27,164.12x = 37,488.90 × 15,833
  4. Step 4: Simplify right side
    27,164.12x = 593,561,753.70
  5. Step 5: Solve for x
    x = 593,561,753.70/27,164.12
  6. Step 6: Final answer
    x = 21,850.95

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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.