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Finding the Fourth Proportional to 18,551.26, 27,830.13 and 6,867.82

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Solution

The fourth proportional to 18,551.26, 27,830.13 and 6,867.82 is: 10,302.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,551.26 : 27,830.13 = 6,867.82 : x
  2. Step 2: Convert to fraction form
    18,551.26/27,830.13 = 6,867.82/x
  3. Step 3: Cross multiply
    18,551.26x = 27,830.13 × 6,867.82
  4. Step 4: Simplify right side
    18,551.26x = 191,132,323.42
  5. Step 5: Solve for x
    x = 191,132,323.42/18,551.26
  6. Step 6: Final answer
    x = 10,302.93

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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.