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Finding the Fourth Proportional to 20,910.34, 31,363.08 and 8,429.86

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Solution

The fourth proportional to 20,910.34, 31,363.08 and 8,429.86 is: 12,643.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,910.34 : 31,363.08 = 8,429.86 : x
  2. Step 2: Convert to fraction form
    20,910.34/31,363.08 = 8,429.86/x
  3. Step 3: Cross multiply
    20,910.34x = 31,363.08 × 8,429.86
  4. Step 4: Simplify right side
    20,910.34x = 264,386,373.57
  5. Step 5: Solve for x
    x = 264,386,373.57/20,910.34
  6. Step 6: Final answer
    x = 12,643.81

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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.