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Finding the Fourth Proportional to 16,350.75, 22,564.73 and 9,277.83

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Solution

The fourth proportional to 16,350.75, 22,564.73 and 9,277.83 is: 12,803.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,350.75 : 22,564.73 = 9,277.83 : x
  2. Step 2: Convert to fraction form
    16,350.75/22,564.73 = 9,277.83/x
  3. Step 3: Cross multiply
    16,350.75x = 22,564.73 × 9,277.83
  4. Step 4: Simplify right side
    16,350.75x = 209,351,682.55
  5. Step 5: Solve for x
    x = 209,351,682.55/16,350.75
  6. Step 6: Final answer
    x = 12,803.80

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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.