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Finding the Fourth Proportional to 16,350.86, 22,564.24 and 9,277.27

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Solution

The fourth proportional to 16,350.86, 22,564.24 and 9,277.27 is: 12,802.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,350.86 : 22,564.24 = 9,277.27 : x
  2. Step 2: Convert to fraction form
    16,350.86/22,564.24 = 9,277.27/x
  3. Step 3: Cross multiply
    16,350.86x = 22,564.24 × 9,277.27
  4. Step 4: Simplify right side
    16,350.86x = 209,334,467.22
  5. Step 5: Solve for x
    x = 209,334,467.22/16,350.86
  6. Step 6: Final answer
    x = 12,802.66

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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.