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Finding the Fourth Proportional to 22,502.64, 31,046.04 and 13,067.76

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Solution

The fourth proportional to 22,502.64, 31,046.04 and 13,067.76 is: 18,029.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,502.64 : 31,046.04 = 13,067.76 : x
  2. Step 2: Convert to fraction form
    22,502.64/31,046.04 = 13,067.76/x
  3. Step 3: Cross multiply
    22,502.64x = 31,046.04 × 13,067.76
  4. Step 4: Simplify right side
    22,502.64x = 405,702,199.67
  5. Step 5: Solve for x
    x = 405,702,199.67/22,502.64
  6. Step 6: Final answer
    x = 18,029.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.