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Finding the Fourth Proportional to 19,833.72, 27,370.38 and 11,454.84

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Solution

The fourth proportional to 19,833.72, 27,370.38 and 11,454.84 is: 15,807.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,833.72 : 27,370.38 = 11,454.84 : x
  2. Step 2: Convert to fraction form
    19,833.72/27,370.38 = 11,454.84/x
  3. Step 3: Cross multiply
    19,833.72x = 27,370.38 × 11,454.84
  4. Step 4: Simplify right side
    19,833.72x = 313,523,323.64
  5. Step 5: Solve for x
    x = 313,523,323.64/19,833.72
  6. Step 6: Final answer
    x = 15,807.59

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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.