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Finding the Fourth Proportional to 21,443.86, 32,162.01 and 8,285.41

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Solution

The fourth proportional to 21,443.86, 32,162.01 and 8,285.41 is: 12,426.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,443.86 : 32,162.01 = 8,285.41 : x
  2. Step 2: Convert to fraction form
    21,443.86/32,162.01 = 8,285.41/x
  3. Step 3: Cross multiply
    21,443.86x = 32,162.01 × 8,285.41
  4. Step 4: Simplify right side
    21,443.86x = 266,475,439.27
  5. Step 5: Solve for x
    x = 266,475,439.27/21,443.86
  6. Step 6: Final answer
    x = 12,426.65

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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.