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Finding the Fourth Proportional to 16,811.79, 23,200.05 and 9,738.87

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Solution

The fourth proportional to 16,811.79, 23,200.05 and 9,738.87 is: 13,439.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,811.79 : 23,200.05 = 9,738.87 : x
  2. Step 2: Convert to fraction form
    16,811.79/23,200.05 = 9,738.87/x
  3. Step 3: Cross multiply
    16,811.79x = 23,200.05 × 9,738.87
  4. Step 4: Simplify right side
    16,811.79x = 225,942,220.46
  5. Step 5: Solve for x
    x = 225,942,220.46/16,811.79
  6. Step 6: Final answer
    x = 13,439.51

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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.