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Finding the Fourth Proportional to 18,565.44, 27,849.72 and 6,085.40

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Solution

The fourth proportional to 18,565.44, 27,849.72 and 6,085.40 is: 9,128.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,565.44 : 27,849.72 = 6,085.40 : x
  2. Step 2: Convert to fraction form
    18,565.44/27,849.72 = 6,085.40/x
  3. Step 3: Cross multiply
    18,565.44x = 27,849.72 × 6,085.40
  4. Step 4: Simplify right side
    18,565.44x = 169,476,569.66
  5. Step 5: Solve for x
    x = 169,476,569.66/18,565.44
  6. Step 6: Final answer
    x = 9,128.61

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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.