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Finding the Fourth Proportional to 21,594.20, 32,405.70 and 12,234.20

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Solution

The fourth proportional to 21,594.20, 32,405.70 and 12,234.20 is: 18,359.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,594.20 : 32,405.70 = 12,234.20 : x
  2. Step 2: Convert to fraction form
    21,594.20/32,405.70 = 12,234.20/x
  3. Step 3: Cross multiply
    21,594.20x = 32,405.70 × 12,234.20
  4. Step 4: Simplify right side
    21,594.20x = 396,457,814.94
  5. Step 5: Solve for x
    x = 396,457,814.94/21,594.20
  6. Step 6: Final answer
    x = 18,359.46

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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.