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Finding the Fourth Proportional to 20,685.99, 31,024.37 and 8,202.66

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Solution

The fourth proportional to 20,685.99, 31,024.37 and 8,202.66 is: 12,302.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,685.99 : 31,024.37 = 8,202.66 : x
  2. Step 2: Convert to fraction form
    20,685.99/31,024.37 = 8,202.66/x
  3. Step 3: Cross multiply
    20,685.99x = 31,024.37 × 8,202.66
  4. Step 4: Simplify right side
    20,685.99x = 254,482,326.95
  5. Step 5: Solve for x
    x = 254,482,326.95/20,685.99
  6. Step 6: Final answer
    x = 12,302.16

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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.