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Finding the Fourth Proportional to 13,747.95, 20,623.77 and 6,723.18

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Solution

The fourth proportional to 13,747.95, 20,623.77 and 6,723.18 is: 10,085.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,747.95 : 20,623.77 = 6,723.18 : x
  2. Step 2: Convert to fraction form
    13,747.95/20,623.77 = 6,723.18/x
  3. Step 3: Cross multiply
    13,747.95x = 20,623.77 × 6,723.18
  4. Step 4: Simplify right side
    13,747.95x = 138,657,317.99
  5. Step 5: Solve for x
    x = 138,657,317.99/13,747.95
  6. Step 6: Final answer
    x = 10,085.67

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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.