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Finding the Fourth Proportional to 22,524.96, 31,086.77 and 12,965.21

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Solution

The fourth proportional to 22,524.96, 31,086.77 and 12,965.21 is: 17,893.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,524.96 : 31,086.77 = 12,965.21 : x
  2. Step 2: Convert to fraction form
    22,524.96/31,086.77 = 12,965.21/x
  3. Step 3: Cross multiply
    22,524.96x = 31,086.77 × 12,965.21
  4. Step 4: Simplify right side
    22,524.96x = 403,046,281.01
  5. Step 5: Solve for x
    x = 403,046,281.01/22,524.96
  6. Step 6: Final answer
    x = 17,893.32

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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.