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Finding the Fourth Proportional to 13,767.37, 18,998.80 and 7,800.20

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Solution

The fourth proportional to 13,767.37, 18,998.80 and 7,800.20 is: 10,764.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,767.37 : 18,998.80 = 7,800.20 : x
  2. Step 2: Convert to fraction form
    13,767.37/18,998.80 = 7,800.20/x
  3. Step 3: Cross multiply
    13,767.37x = 18,998.80 × 7,800.20
  4. Step 4: Simplify right side
    13,767.37x = 148,194,440.39
  5. Step 5: Solve for x
    x = 148,194,440.39/13,767.37
  6. Step 6: Final answer
    x = 10,764.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.