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Finding the Fourth Proportional to 16,564.17, 22,859.15 and 9,491.96

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Solution

The fourth proportional to 16,564.17, 22,859.15 and 9,491.96 is: 13,099.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.17 : 22,859.15 = 9,491.96 : x
  2. Step 2: Convert to fraction form
    16,564.17/22,859.15 = 9,491.96/x
  3. Step 3: Cross multiply
    16,564.17x = 22,859.15 × 9,491.96
  4. Step 4: Simplify right side
    16,564.17x = 216,978,137.43
  5. Step 5: Solve for x
    x = 216,978,137.43/16,564.17
  6. Step 6: Final answer
    x = 13,099.25

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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.