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Finding the Fourth Proportional to 20,811.13, 31,216.72 and 8,499.13

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Solution

The fourth proportional to 20,811.13, 31,216.72 and 8,499.13 is: 12,748.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,811.13 : 31,216.72 = 8,499.13 : x
  2. Step 2: Convert to fraction form
    20,811.13/31,216.72 = 8,499.13/x
  3. Step 3: Cross multiply
    20,811.13x = 31,216.72 × 8,499.13
  4. Step 4: Simplify right side
    20,811.13x = 265,314,805.37
  5. Step 5: Solve for x
    x = 265,314,805.37/20,811.13
  6. Step 6: Final answer
    x = 12,748.70

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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.