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Finding the Fourth Proportional to 19,842.33, 29,765.24 and 7,362.49

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Solution

The fourth proportional to 19,842.33, 29,765.24 and 7,362.49 is: 11,044.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,842.33 : 29,765.24 = 7,362.49 : x
  2. Step 2: Convert to fraction form
    19,842.33/29,765.24 = 7,362.49/x
  3. Step 3: Cross multiply
    19,842.33x = 29,765.24 × 7,362.49
  4. Step 4: Simplify right side
    19,842.33x = 219,146,281.85
  5. Step 5: Solve for x
    x = 219,146,281.85/19,842.33
  6. Step 6: Final answer
    x = 11,044.38

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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.