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Finding the Fourth Proportional to 13,355.88, 20,042 and 6,786.76

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Solution

The fourth proportional to 13,355.88, 20,042 and 6,786.76 is: 10,184.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,355.88 : 20,042 = 6,786.76 : x
  2. Step 2: Convert to fraction form
    13,355.88/20,042 = 6,786.76/x
  3. Step 3: Cross multiply
    13,355.88x = 20,042 × 6,786.76
  4. Step 4: Simplify right side
    13,355.88x = 136,020,243.92
  5. Step 5: Solve for x
    x = 136,020,243.92/13,355.88
  6. Step 6: Final answer
    x = 10,184.30

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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.