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Finding the Fourth Proportional to 12,036.64, 18,056.24 and 5,876

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Solution

The fourth proportional to 12,036.64, 18,056.24 and 5,876 is: 8,814.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,036.64 : 18,056.24 = 5,876 : x
  2. Step 2: Convert to fraction form
    12,036.64/18,056.24 = 5,876/x
  3. Step 3: Cross multiply
    12,036.64x = 18,056.24 × 5,876
  4. Step 4: Simplify right side
    12,036.64x = 106,098,466.24
  5. Step 5: Solve for x
    x = 106,098,466.24/12,036.64
  6. Step 6: Final answer
    x = 8,814.62

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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.