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Finding the Fourth Proportional to 13,777.06, 20,658 and 8,157.08

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Solution

The fourth proportional to 13,777.06, 20,658 and 8,157.08 is: 12,231.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.06 : 20,658 = 8,157.08 : x
  2. Step 2: Convert to fraction form
    13,777.06/20,658 = 8,157.08/x
  3. Step 3: Cross multiply
    13,777.06x = 20,658 × 8,157.08
  4. Step 4: Simplify right side
    13,777.06x = 168,508,958.64
  5. Step 5: Solve for x
    x = 168,508,958.64/13,777.06
  6. Step 6: Final answer
    x = 12,231.13

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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.