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Finding the Fourth Proportional to 19,232.32, 28,832.52 and 8,147.68

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Solution

The fourth proportional to 19,232.32, 28,832.52 and 8,147.68 is: 12,214.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,232.32 : 28,832.52 = 8,147.68 : x
  2. Step 2: Convert to fraction form
    19,232.32/28,832.52 = 8,147.68/x
  3. Step 3: Cross multiply
    19,232.32x = 28,832.52 × 8,147.68
  4. Step 4: Simplify right side
    19,232.32x = 234,918,146.55
  5. Step 5: Solve for x
    x = 234,918,146.55/19,232.32
  6. Step 6: Final answer
    x = 12,214.76

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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.