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Finding the Fourth Proportional to 22,596.23, 31,185 and 13,164.19

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Solution

The fourth proportional to 22,596.23, 31,185 and 13,164.19 is: 18,167.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,596.23 : 31,185 = 13,164.19 : x
  2. Step 2: Convert to fraction form
    22,596.23/31,185 = 13,164.19/x
  3. Step 3: Cross multiply
    22,596.23x = 31,185 × 13,164.19
  4. Step 4: Simplify right side
    22,596.23x = 410,525,187.19
  5. Step 5: Solve for x
    x = 410,525,187.19/22,596.23
  6. Step 6: Final answer
    x = 18,167.86

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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.