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Finding the Fourth Proportional to 13,768.57, 20,651.08 and 4,407.81

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Solution

The fourth proportional to 13,768.57, 20,651.08 and 4,407.81 is: 6,611.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768.57 : 20,651.08 = 4,407.81 : x
  2. Step 2: Convert to fraction form
    13,768.57/20,651.08 = 4,407.81/x
  3. Step 3: Cross multiply
    13,768.57x = 20,651.08 × 4,407.81
  4. Step 4: Simplify right side
    13,768.57x = 91,026,036.93
  5. Step 5: Solve for x
    x = 91,026,036.93/13,768.57
  6. Step 6: Final answer
    x = 6,611.15

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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.