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Finding the Fourth Proportional to 13,767.23, 20,624.31 and 8,225.01

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Solution

The fourth proportional to 13,767.23, 20,624.31 and 8,225.01 is: 12,321.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767.23 : 20,624.31 = 8,225.01 : x
  2. Step 2: Convert to fraction form
    13,767.23/20,624.31 = 8,225.01/x
  3. Step 3: Cross multiply
    13,767.23x = 20,624.31 × 8,225.01
  4. Step 4: Simplify right side
    13,767.23x = 169,635,155.99
  5. Step 5: Solve for x
    x = 169,635,155.99/13,767.23
  6. Step 6: Final answer
    x = 12,321.66

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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.