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Finding the Fourth Proportional to 16,783.20, 23,164.16 and 12,797.19

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Solution

The fourth proportional to 16,783.20, 23,164.16 and 12,797.19 is: 17,662.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,783.20 : 23,164.16 = 12,797.19 : x
  2. Step 2: Convert to fraction form
    16,783.20/23,164.16 = 12,797.19/x
  3. Step 3: Cross multiply
    16,783.20x = 23,164.16 × 12,797.19
  4. Step 4: Simplify right side
    16,783.20x = 296,436,156.71
  5. Step 5: Solve for x
    x = 296,436,156.71/16,783.20
  6. Step 6: Final answer
    x = 17,662.67

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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.