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Finding the Fourth Proportional to 16,889.23, 23,301.43 and 9,809.83

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Solution

The fourth proportional to 16,889.23, 23,301.43 and 9,809.83 is: 13,534.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,889.23 : 23,301.43 = 9,809.83 : x
  2. Step 2: Convert to fraction form
    16,889.23/23,301.43 = 9,809.83/x
  3. Step 3: Cross multiply
    16,889.23x = 23,301.43 × 9,809.83
  4. Step 4: Simplify right side
    16,889.23x = 228,583,067.06
  5. Step 5: Solve for x
    x = 228,583,067.06/16,889.23
  6. Step 6: Final answer
    x = 13,534.25

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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.