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Finding the Fourth Proportional to 18,181.80, 27,252.47 and 7,648.67

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Solution

The fourth proportional to 18,181.80, 27,252.47 and 7,648.67 is: 11,464.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,181.80 : 27,252.47 = 7,648.67 : x
  2. Step 2: Convert to fraction form
    18,181.80/27,252.47 = 7,648.67/x
  3. Step 3: Cross multiply
    18,181.80x = 27,252.47 × 7,648.67
  4. Step 4: Simplify right side
    18,181.80x = 208,445,236.97
  5. Step 5: Solve for x
    x = 208,445,236.97/18,181.80
  6. Step 6: Final answer
    x = 11,464.50

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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.