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Finding the Fourth Proportional to 12,134.64, 18,200.72 and 3,814.72

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Solution

The fourth proportional to 12,134.64, 18,200.72 and 3,814.72 is: 5,721.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,134.64 : 18,200.72 = 3,814.72 : x
  2. Step 2: Convert to fraction form
    12,134.64/18,200.72 = 3,814.72/x
  3. Step 3: Cross multiply
    12,134.64x = 18,200.72 × 3,814.72
  4. Step 4: Simplify right side
    12,134.64x = 69,430,650.60
  5. Step 5: Solve for x
    x = 69,430,650.60/12,134.64
  6. Step 6: Final answer
    x = 5,721.69

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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.