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Finding the Fourth Proportional to 13,563.74, 20,351.79 and 8,027.93

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Solution

The fourth proportional to 13,563.74, 20,351.79 and 8,027.93 is: 12,045.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,563.74 : 20,351.79 = 8,027.93 : x
  2. Step 2: Convert to fraction form
    13,563.74/20,351.79 = 8,027.93/x
  3. Step 3: Cross multiply
    13,563.74x = 20,351.79 × 8,027.93
  4. Step 4: Simplify right side
    13,563.74x = 163,382,643.74
  5. Step 5: Solve for x
    x = 163,382,643.74/13,563.74
  6. Step 6: Final answer
    x = 12,045.55

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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.