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Finding the Fourth Proportional to 20,496.06, 30,727.49 and 8,642.16

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Solution

The fourth proportional to 20,496.06, 30,727.49 and 8,642.16 is: 12,956.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,496.06 : 30,727.49 = 8,642.16 : x
  2. Step 2: Convert to fraction form
    20,496.06/30,727.49 = 8,642.16/x
  3. Step 3: Cross multiply
    20,496.06x = 30,727.49 × 8,642.16
  4. Step 4: Simplify right side
    20,496.06x = 265,551,841.77
  5. Step 5: Solve for x
    x = 265,551,841.77/20,496.06
  6. Step 6: Final answer
    x = 12,956.24

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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.