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Finding the Fourth Proportional to 16,596.12, 22,902.66 and 9,144.12

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Solution

The fourth proportional to 16,596.12, 22,902.66 and 9,144.12 is: 12,618.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,596.12 : 22,902.66 = 9,144.12 : x
  2. Step 2: Convert to fraction form
    16,596.12/22,902.66 = 9,144.12/x
  3. Step 3: Cross multiply
    16,596.12x = 22,902.66 × 9,144.12
  4. Step 4: Simplify right side
    16,596.12x = 209,424,671.36
  5. Step 5: Solve for x
    x = 209,424,671.36/16,596.12
  6. Step 6: Final answer
    x = 12,618.89

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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.