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Finding the Fourth Proportional to 16,564.22, 22,857.24 and 9,757.16

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Solution

The fourth proportional to 16,564.22, 22,857.24 and 9,757.16 is: 13,464.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.22 : 22,857.24 = 9,757.16 : x
  2. Step 2: Convert to fraction form
    16,564.22/22,857.24 = 9,757.16/x
  3. Step 3: Cross multiply
    16,564.22x = 22,857.24 × 9,757.16
  4. Step 4: Simplify right side
    16,564.22x = 223,021,747.84
  5. Step 5: Solve for x
    x = 223,021,747.84/16,564.22
  6. Step 6: Final answer
    x = 13,464.07

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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.