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Finding the Fourth Proportional to 16,186.93, 22,340.09 and 9,114.73

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Solution

The fourth proportional to 16,186.93, 22,340.09 and 9,114.73 is: 12,579.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,186.93 : 22,340.09 = 9,114.73 : x
  2. Step 2: Convert to fraction form
    16,186.93/22,340.09 = 9,114.73/x
  3. Step 3: Cross multiply
    16,186.93x = 22,340.09 × 9,114.73
  4. Step 4: Simplify right side
    16,186.93x = 203,623,888.53
  5. Step 5: Solve for x
    x = 203,623,888.53/16,186.93
  6. Step 6: Final answer
    x = 12,579.52

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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.