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Finding the Fourth Proportional to 22,898.72, 31,593.06 and 12,825.80

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Solution

The fourth proportional to 22,898.72, 31,593.06 and 12,825.80 is: 17,695.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,898.72 : 31,593.06 = 12,825.80 : x
  2. Step 2: Convert to fraction form
    22,898.72/31,593.06 = 12,825.80/x
  3. Step 3: Cross multiply
    22,898.72x = 31,593.06 × 12,825.80
  4. Step 4: Simplify right side
    22,898.72x = 405,206,268.95
  5. Step 5: Solve for x
    x = 405,206,268.95/22,898.72
  6. Step 6: Final answer
    x = 17,695.59

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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.