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Finding the Fourth Proportional to 23,067.30, 34,595.64 and 9,027.66

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Solution

The fourth proportional to 23,067.30, 34,595.64 and 9,027.66 is: 13,539.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,067.30 : 34,595.64 = 9,027.66 : x
  2. Step 2: Convert to fraction form
    23,067.30/34,595.64 = 9,027.66/x
  3. Step 3: Cross multiply
    23,067.30x = 34,595.64 × 9,027.66
  4. Step 4: Simplify right side
    23,067.30x = 312,317,675.40
  5. Step 5: Solve for x
    x = 312,317,675.40/23,067.30
  6. Step 6: Final answer
    x = 13,539.41

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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.