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Finding the Fourth Proportional to 16,564.73, 22,859.32 and 9,495.26

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Solution

The fourth proportional to 16,564.73, 22,859.32 and 9,495.26 is: 13,103.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.73 : 22,859.32 = 9,495.26 : x
  2. Step 2: Convert to fraction form
    16,564.73/22,859.32 = 9,495.26/x
  3. Step 3: Cross multiply
    16,564.73x = 22,859.32 × 9,495.26
  4. Step 4: Simplify right side
    16,564.73x = 217,055,025.05
  5. Step 5: Solve for x
    x = 217,055,025.05/16,564.73
  6. Step 6: Final answer
    x = 13,103.44

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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.