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Finding the Fourth Proportional to 12,703.56, 19,055.34 and 3,469.64

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Solution

The fourth proportional to 12,703.56, 19,055.34 and 3,469.64 is: 5,204.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,703.56 : 19,055.34 = 3,469.64 : x
  2. Step 2: Convert to fraction form
    12,703.56/19,055.34 = 3,469.64/x
  3. Step 3: Cross multiply
    12,703.56x = 19,055.34 × 3,469.64
  4. Step 4: Simplify right side
    12,703.56x = 66,115,169.88
  5. Step 5: Solve for x
    x = 66,115,169.88/12,703.56
  6. Step 6: Final answer
    x = 5,204.46

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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.