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Finding the Fourth Proportional to 12,835.32, 19,234.62 and 5,797.86

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Solution

The fourth proportional to 12,835.32, 19,234.62 and 5,797.86 is: 8,688.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,835.32 : 19,234.62 = 5,797.86 : x
  2. Step 2: Convert to fraction form
    12,835.32/19,234.62 = 5,797.86/x
  3. Step 3: Cross multiply
    12,835.32x = 19,234.62 × 5,797.86
  4. Step 4: Simplify right side
    12,835.32x = 111,519,633.91
  5. Step 5: Solve for x
    x = 111,519,633.91/12,835.32
  6. Step 6: Final answer
    x = 8,688.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.