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Finding the Fourth Proportional to 19,785.64, 29,680.01 and 5,745.90

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Solution

The fourth proportional to 19,785.64, 29,680.01 and 5,745.90 is: 8,619.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,785.64 : 29,680.01 = 5,745.90 : x
  2. Step 2: Convert to fraction form
    19,785.64/29,680.01 = 5,745.90/x
  3. Step 3: Cross multiply
    19,785.64x = 29,680.01 × 5,745.90
  4. Step 4: Simplify right side
    19,785.64x = 170,538,340.28
  5. Step 5: Solve for x
    x = 170,538,340.28/19,785.64
  6. Step 6: Final answer
    x = 8,619.30

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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.