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Finding the Fourth Proportional to 16,777.86, 23,153.72 and 9,224.50

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Solution

The fourth proportional to 16,777.86, 23,153.72 and 9,224.50 is: 12,729.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,777.86 : 23,153.72 = 9,224.50 : x
  2. Step 2: Convert to fraction form
    16,777.86/23,153.72 = 9,224.50/x
  3. Step 3: Cross multiply
    16,777.86x = 23,153.72 × 9,224.50
  4. Step 4: Simplify right side
    16,777.86x = 213,581,490.14
  5. Step 5: Solve for x
    x = 213,581,490.14/16,777.86
  6. Step 6: Final answer
    x = 12,729.96

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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.