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Finding the Fourth Proportional to 13,753.74, 18,980.10 and 7,785.36

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Solution

The fourth proportional to 13,753.74, 18,980.10 and 7,785.36 is: 10,743.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,753.74 : 18,980.10 = 7,785.36 : x
  2. Step 2: Convert to fraction form
    13,753.74/18,980.10 = 7,785.36/x
  3. Step 3: Cross multiply
    13,753.74x = 18,980.10 × 7,785.36
  4. Step 4: Simplify right side
    13,753.74x = 147,766,911.34
  5. Step 5: Solve for x
    x = 147,766,911.34/13,753.74
  6. Step 6: Final answer
    x = 10,743.76

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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.