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Finding the Fourth Proportional to 16,778.76, 23,154.74 and 9,225.87

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Solution

The fourth proportional to 16,778.76, 23,154.74 and 9,225.87 is: 12,731.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,778.76 : 23,154.74 = 9,225.87 : x
  2. Step 2: Convert to fraction form
    16,778.76/23,154.74 = 9,225.87/x
  3. Step 3: Cross multiply
    16,778.76x = 23,154.74 × 9,225.87
  4. Step 4: Simplify right side
    16,778.76x = 213,622,574.99
  5. Step 5: Solve for x
    x = 213,622,574.99/16,778.76
  6. Step 6: Final answer
    x = 12,731.73

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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.