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Finding the Fourth Proportional to 17,596.31, 24,282.92 and 9,638.83

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Solution

The fourth proportional to 17,596.31, 24,282.92 and 9,638.83 is: 13,301.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,596.31 : 24,282.92 = 9,638.83 : x
  2. Step 2: Convert to fraction form
    17,596.31/24,282.92 = 9,638.83/x
  3. Step 3: Cross multiply
    17,596.31x = 24,282.92 × 9,638.83
  4. Step 4: Simplify right side
    17,596.31x = 234,058,804.32
  5. Step 5: Solve for x
    x = 234,058,804.32/17,596.31
  6. Step 6: Final answer
    x = 13,301.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.