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Finding the Fourth Proportional to 20,056.86, 30,085.22 and 8,216.13

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Solution

The fourth proportional to 20,056.86, 30,085.22 and 8,216.13 is: 12,324.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,056.86 : 30,085.22 = 8,216.13 : x
  2. Step 2: Convert to fraction form
    20,056.86/30,085.22 = 8,216.13/x
  3. Step 3: Cross multiply
    20,056.86x = 30,085.22 × 8,216.13
  4. Step 4: Simplify right side
    20,056.86x = 247,184,037.52
  5. Step 5: Solve for x
    x = 247,184,037.52/20,056.86
  6. Step 6: Final answer
    x = 12,324.16

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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.