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Finding the Fourth Proportional to 13,785.77, 20,679.06 and 5,027.24

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Solution

The fourth proportional to 13,785.77, 20,679.06 and 5,027.24 is: 7,541.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,785.77 : 20,679.06 = 5,027.24 : x
  2. Step 2: Convert to fraction form
    13,785.77/20,679.06 = 5,027.24/x
  3. Step 3: Cross multiply
    13,785.77x = 20,679.06 × 5,027.24
  4. Step 4: Simplify right side
    13,785.77x = 103,958,597.59
  5. Step 5: Solve for x
    x = 103,958,597.59/13,785.77
  6. Step 6: Final answer
    x = 7,541.01

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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.