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Finding the Fourth Proportional to 12,682.25, 19,027.42 and 6,109.10

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Solution

The fourth proportional to 12,682.25, 19,027.42 and 6,109.10 is: 9,165.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,682.25 : 19,027.42 = 6,109.10 : x
  2. Step 2: Convert to fraction form
    12,682.25/19,027.42 = 6,109.10/x
  3. Step 3: Cross multiply
    12,682.25x = 19,027.42 × 6,109.10
  4. Step 4: Simplify right side
    12,682.25x = 116,240,301.11
  5. Step 5: Solve for x
    x = 116,240,301.11/12,682.25
  6. Step 6: Final answer
    x = 9,165.59

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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.