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Finding the Fourth Proportional to 27,697.68, 38,221.02 and 15,122.40

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Solution

The fourth proportional to 27,697.68, 38,221.02 and 15,122.40 is: 20,867.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,697.68 : 38,221.02 = 15,122.40 : x
  2. Step 2: Convert to fraction form
    27,697.68/38,221.02 = 15,122.40/x
  3. Step 3: Cross multiply
    27,697.68x = 38,221.02 × 15,122.40
  4. Step 4: Simplify right side
    27,697.68x = 577,993,552.85
  5. Step 5: Solve for x
    x = 577,993,552.85/27,697.68
  6. Step 6: Final answer
    x = 20,867.94

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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.