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Finding the Fourth Proportional to 12,523.41, 18,787.07 and 5,946.01

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Solution

The fourth proportional to 12,523.41, 18,787.07 and 5,946.01 is: 8,919.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,523.41 : 18,787.07 = 5,946.01 : x
  2. Step 2: Convert to fraction form
    12,523.41/18,787.07 = 5,946.01/x
  3. Step 3: Cross multiply
    12,523.41x = 18,787.07 × 5,946.01
  4. Step 4: Simplify right side
    12,523.41x = 111,708,073.99
  5. Step 5: Solve for x
    x = 111,708,073.99/12,523.41
  6. Step 6: Final answer
    x = 8,919.94

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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.