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Finding the Fourth Proportional to 12,114.10, 18,175.74 and 5,873.77

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Solution

The fourth proportional to 12,114.10, 18,175.74 and 5,873.77 is: 8,812.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,114.10 : 18,175.74 = 5,873.77 : x
  2. Step 2: Convert to fraction form
    12,114.10/18,175.74 = 5,873.77/x
  3. Step 3: Cross multiply
    12,114.10x = 18,175.74 × 5,873.77
  4. Step 4: Simplify right side
    12,114.10x = 106,760,116.34
  5. Step 5: Solve for x
    x = 106,760,116.34/12,114.10
  6. Step 6: Final answer
    x = 8,812.88

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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.