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Finding the Fourth Proportional to 12,832.86, 19,234.68 and 5,432.70

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Solution

The fourth proportional to 12,832.86, 19,234.68 and 5,432.70 is: 8,142.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,832.86 : 19,234.68 = 5,432.70 : x
  2. Step 2: Convert to fraction form
    12,832.86/19,234.68 = 5,432.70/x
  3. Step 3: Cross multiply
    12,832.86x = 19,234.68 × 5,432.70
  4. Step 4: Simplify right side
    12,832.86x = 104,496,246.04
  5. Step 5: Solve for x
    x = 104,496,246.04/12,832.86
  6. Step 6: Final answer
    x = 8,142.86

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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.