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Finding the Fourth Proportional to 12,504.30, 18,742.14 and 5,921.16

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Solution

The fourth proportional to 12,504.30, 18,742.14 and 5,921.16 is: 8,874.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,504.30 : 18,742.14 = 5,921.16 : x
  2. Step 2: Convert to fraction form
    12,504.30/18,742.14 = 5,921.16/x
  3. Step 3: Cross multiply
    12,504.30x = 18,742.14 × 5,921.16
  4. Step 4: Simplify right side
    12,504.30x = 110,975,209.68
  5. Step 5: Solve for x
    x = 110,975,209.68/12,504.30
  6. Step 6: Final answer
    x = 8,874.96

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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.