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Finding the Fourth Proportional to 16,778.86, 23,155.10 and 9,225.50

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Solution

The fourth proportional to 16,778.86, 23,155.10 and 9,225.50 is: 12,731.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,778.86 : 23,155.10 = 9,225.50 : x
  2. Step 2: Convert to fraction form
    16,778.86/23,155.10 = 9,225.50/x
  3. Step 3: Cross multiply
    16,778.86x = 23,155.10 × 9,225.50
  4. Step 4: Simplify right side
    16,778.86x = 213,617,375.05
  5. Step 5: Solve for x
    x = 213,617,375.05/16,778.86
  6. Step 6: Final answer
    x = 12,731.34

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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.