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Finding the Fourth Proportional to 27,151.55, 37,471.24 and 15,216

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Solution

The fourth proportional to 27,151.55, 37,471.24 and 15,216 is: 20,999.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,151.55 : 37,471.24 = 15,216 : x
  2. Step 2: Convert to fraction form
    27,151.55/37,471.24 = 15,216/x
  3. Step 3: Cross multiply
    27,151.55x = 37,471.24 × 15,216
  4. Step 4: Simplify right side
    27,151.55x = 570,162,387.84
  5. Step 5: Solve for x
    x = 570,162,387.84/27,151.55
  6. Step 6: Final answer
    x = 20,999.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.