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Finding the Fourth Proportional to 27,193.94, 40,784.16 and 7,471.52

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Solution

The fourth proportional to 27,193.94, 40,784.16 and 7,471.52 is: 11,205.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,193.94 : 40,784.16 = 7,471.52 : x
  2. Step 2: Convert to fraction form
    27,193.94/40,784.16 = 7,471.52/x
  3. Step 3: Cross multiply
    27,193.94x = 40,784.16 × 7,471.52
  4. Step 4: Simplify right side
    27,193.94x = 304,719,667.12
  5. Step 5: Solve for x
    x = 304,719,667.12/27,193.94
  6. Step 6: Final answer
    x = 11,205.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.