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Finding the Fourth Proportional to 11,630.96, 17,447.52 and 4,236.20

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Solution

The fourth proportional to 11,630.96, 17,447.52 and 4,236.20 is: 6,354.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,630.96 : 17,447.52 = 4,236.20 : x
  2. Step 2: Convert to fraction form
    11,630.96/17,447.52 = 4,236.20/x
  3. Step 3: Cross multiply
    11,630.96x = 17,447.52 × 4,236.20
  4. Step 4: Simplify right side
    11,630.96x = 73,911,184.22
  5. Step 5: Solve for x
    x = 73,911,184.22/11,630.96
  6. Step 6: Final answer
    x = 6,354.69

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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.