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Finding the Fourth Proportional to 20,686.12, 31,022.39 and 6,642.82

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Solution

The fourth proportional to 20,686.12, 31,022.39 and 6,642.82 is: 9,962.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,686.12 : 31,022.39 = 6,642.82 : x
  2. Step 2: Convert to fraction form
    20,686.12/31,022.39 = 6,642.82/x
  3. Step 3: Cross multiply
    20,686.12x = 31,022.39 × 6,642.82
  4. Step 4: Simplify right side
    20,686.12x = 206,076,152.74
  5. Step 5: Solve for x
    x = 206,076,152.74/20,686.12
  6. Step 6: Final answer
    x = 9,962.05

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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.