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Finding the Fourth Proportional to 20,707.86, 31,041.54 and 8,223.74

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Solution

The fourth proportional to 20,707.86, 31,041.54 and 8,223.74 is: 12,327.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,707.86 : 31,041.54 = 8,223.74 : x
  2. Step 2: Convert to fraction form
    20,707.86/31,041.54 = 8,223.74/x
  3. Step 3: Cross multiply
    20,707.86x = 31,041.54 × 8,223.74
  4. Step 4: Simplify right side
    20,707.86x = 255,277,398.95
  5. Step 5: Solve for x
    x = 255,277,398.95/20,707.86
  6. Step 6: Final answer
    x = 12,327.56

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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.