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Finding the Fourth Proportional to 18,581.67, 27,865.22 and 7,486.29

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Solution

The fourth proportional to 18,581.67, 27,865.22 and 7,486.29 is: 11,226.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,581.67 : 27,865.22 = 7,486.29 : x
  2. Step 2: Convert to fraction form
    18,581.67/27,865.22 = 7,486.29/x
  3. Step 3: Cross multiply
    18,581.67x = 27,865.22 × 7,486.29
  4. Step 4: Simplify right side
    18,581.67x = 208,607,080.40
  5. Step 5: Solve for x
    x = 208,607,080.40/18,581.67
  6. Step 6: Final answer
    x = 11,226.50

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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.