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Finding the Fourth Proportional to 16,564.86, 22,857.48 and 9,850.77

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Solution

The fourth proportional to 16,564.86, 22,857.48 and 9,850.77 is: 13,592.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.86 : 22,857.48 = 9,850.77 : x
  2. Step 2: Convert to fraction form
    16,564.86/22,857.48 = 9,850.77/x
  3. Step 3: Cross multiply
    16,564.86x = 22,857.48 × 9,850.77
  4. Step 4: Simplify right side
    16,564.86x = 225,163,778.26
  5. Step 5: Solve for x
    x = 225,163,778.26/16,564.86
  6. Step 6: Final answer
    x = 13,592.86

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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.