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Finding the Fourth Proportional to 20,705.86, 31,038.54 and 8,221.74

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Solution

The fourth proportional to 20,705.86, 31,038.54 and 8,221.74 is: 12,324.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,705.86 : 31,038.54 = 8,221.74 : x
  2. Step 2: Convert to fraction form
    20,705.86/31,038.54 = 8,221.74/x
  3. Step 3: Cross multiply
    20,705.86x = 31,038.54 × 8,221.74
  4. Step 4: Simplify right side
    20,705.86x = 255,190,805.86
  5. Step 5: Solve for x
    x = 255,190,805.86/20,705.86
  6. Step 6: Final answer
    x = 12,324.57

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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.