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Finding the Fourth Proportional to 21,394.75, 32,092.85 and 7,354.65

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Solution

The fourth proportional to 21,394.75, 32,092.85 and 7,354.65 is: 11,032.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,394.75 : 32,092.85 = 7,354.65 : x
  2. Step 2: Convert to fraction form
    21,394.75/32,092.85 = 7,354.65/x
  3. Step 3: Cross multiply
    21,394.75x = 32,092.85 × 7,354.65
  4. Step 4: Simplify right side
    21,394.75x = 236,031,710.57
  5. Step 5: Solve for x
    x = 236,031,710.57/21,394.75
  6. Step 6: Final answer
    x = 11,032.23

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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.