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Finding the Fourth Proportional to 16,564.97, 22,859.66 and 9,495.50

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Solution

The fourth proportional to 16,564.97, 22,859.66 and 9,495.50 is: 13,103.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.97 : 22,859.66 = 9,495.50 : x
  2. Step 2: Convert to fraction form
    16,564.97/22,859.66 = 9,495.50/x
  3. Step 3: Cross multiply
    16,564.97x = 22,859.66 × 9,495.50
  4. Step 4: Simplify right side
    16,564.97x = 217,063,739.75
  5. Step 5: Solve for x
    x = 217,063,739.75/16,564.97
  6. Step 6: Final answer
    x = 13,103.78

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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.