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Finding the Fourth Proportional to 18,354.26, 27,531.38 and 5,206.74

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Solution

The fourth proportional to 18,354.26, 27,531.38 and 5,206.74 is: 7,810.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,354.26 : 27,531.38 = 5,206.74 : x
  2. Step 2: Convert to fraction form
    18,354.26/27,531.38 = 5,206.74/x
  3. Step 3: Cross multiply
    18,354.26x = 27,531.38 × 5,206.74
  4. Step 4: Simplify right side
    18,354.26x = 143,348,737.50
  5. Step 5: Solve for x
    x = 143,348,737.50/18,354.26
  6. Step 6: Final answer
    x = 7,810.11

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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.