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Finding the Fourth Proportional to 16,883.11, 23,297.34 and 9,809.99

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Solution

The fourth proportional to 16,883.11, 23,297.34 and 9,809.99 is: 13,537.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,883.11 : 23,297.34 = 9,809.99 : x
  2. Step 2: Convert to fraction form
    16,883.11/23,297.34 = 9,809.99/x
  3. Step 3: Cross multiply
    16,883.11x = 23,297.34 × 9,809.99
  4. Step 4: Simplify right side
    16,883.11x = 228,546,672.43
  5. Step 5: Solve for x
    x = 228,546,672.43/16,883.11
  6. Step 6: Final answer
    x = 13,537.00

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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.