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Finding the Fourth Proportional to 12,184.31, 16,817.13 and 7,927.86

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Solution

The fourth proportional to 12,184.31, 16,817.13 and 7,927.86 is: 10,942.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,184.31 : 16,817.13 = 7,927.86 : x
  2. Step 2: Convert to fraction form
    12,184.31/16,817.13 = 7,927.86/x
  3. Step 3: Cross multiply
    12,184.31x = 16,817.13 × 7,927.86
  4. Step 4: Simplify right side
    12,184.31x = 133,323,812.60
  5. Step 5: Solve for x
    x = 133,323,812.60/12,184.31
  6. Step 6: Final answer
    x = 10,942.25

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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.