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Finding the Fourth Proportional to 12,261.81, 18,389.98 and 5,687.14

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Solution

The fourth proportional to 12,261.81, 18,389.98 and 5,687.14 is: 8,529.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,261.81 : 18,389.98 = 5,687.14 : x
  2. Step 2: Convert to fraction form
    12,261.81/18,389.98 = 5,687.14/x
  3. Step 3: Cross multiply
    12,261.81x = 18,389.98 × 5,687.14
  4. Step 4: Simplify right side
    12,261.81x = 104,586,390.86
  5. Step 5: Solve for x
    x = 104,586,390.86/12,261.81
  6. Step 6: Final answer
    x = 8,529.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.