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Finding the Fourth Proportional to 19,311.60, 28,967.94 and 6,829.86

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Solution

The fourth proportional to 19,311.60, 28,967.94 and 6,829.86 is: 10,244.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,311.60 : 28,967.94 = 6,829.86 : x
  2. Step 2: Convert to fraction form
    19,311.60/28,967.94 = 6,829.86/x
  3. Step 3: Cross multiply
    19,311.60x = 28,967.94 × 6,829.86
  4. Step 4: Simplify right side
    19,311.60x = 197,846,974.69
  5. Step 5: Solve for x
    x = 197,846,974.69/19,311.60
  6. Step 6: Final answer
    x = 10,244.98

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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.