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Finding the Fourth Proportional to 22,596.98, 31,178.42 and 16,222.48

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Solution

The fourth proportional to 22,596.98, 31,178.42 and 16,222.48 is: 22,383.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,596.98 : 31,178.42 = 16,222.48 : x
  2. Step 2: Convert to fraction form
    22,596.98/31,178.42 = 16,222.48/x
  3. Step 3: Cross multiply
    22,596.98x = 31,178.42 × 16,222.48
  4. Step 4: Simplify right side
    22,596.98x = 505,791,196.66
  5. Step 5: Solve for x
    x = 505,791,196.66/22,596.98
  6. Step 6: Final answer
    x = 22,383.14

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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.