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Finding the Fourth Proportional to 13,776.12, 20,652.08 and 5,461.99

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Solution

The fourth proportional to 13,776.12, 20,652.08 and 5,461.99 is: 8,188.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776.12 : 20,652.08 = 5,461.99 : x
  2. Step 2: Convert to fraction form
    13,776.12/20,652.08 = 5,461.99/x
  3. Step 3: Cross multiply
    13,776.12x = 20,652.08 × 5,461.99
  4. Step 4: Simplify right side
    13,776.12x = 112,801,375.50
  5. Step 5: Solve for x
    x = 112,801,375.50/13,776.12
  6. Step 6: Final answer
    x = 8,188.18

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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.