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Finding the Fourth Proportional to 13,753.68, 18,979.76 and 7,785.41

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Solution

The fourth proportional to 13,753.68, 18,979.76 and 7,785.41 is: 10,743.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,753.68 : 18,979.76 = 7,785.41 : x
  2. Step 2: Convert to fraction form
    13,753.68/18,979.76 = 7,785.41/x
  3. Step 3: Cross multiply
    13,753.68x = 18,979.76 × 7,785.41
  4. Step 4: Simplify right side
    13,753.68x = 147,765,079.48
  5. Step 5: Solve for x
    x = 147,765,079.48/13,753.68
  6. Step 6: Final answer
    x = 10,743.68

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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.