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Finding the Fourth Proportional to 27,203.31, 40,780.34 and 9,669.04

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Solution

The fourth proportional to 27,203.31, 40,780.34 and 9,669.04 is: 14,494.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,203.31 : 40,780.34 = 9,669.04 : x
  2. Step 2: Convert to fraction form
    27,203.31/40,780.34 = 9,669.04/x
  3. Step 3: Cross multiply
    27,203.31x = 40,780.34 × 9,669.04
  4. Step 4: Simplify right side
    27,203.31x = 394,306,534.77
  5. Step 5: Solve for x
    x = 394,306,534.77/27,203.31
  6. Step 6: Final answer
    x = 14,494.80

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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.