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Finding the Fourth Proportional to 16,206.87, 24,308.22 and 4,361.63

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Solution

The fourth proportional to 16,206.87, 24,308.22 and 4,361.63 is: 6,541.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206.87 : 24,308.22 = 4,361.63 : x
  2. Step 2: Convert to fraction form
    16,206.87/24,308.22 = 4,361.63/x
  3. Step 3: Cross multiply
    16,206.87x = 24,308.22 × 4,361.63
  4. Step 4: Simplify right side
    16,206.87x = 106,023,340.06
  5. Step 5: Solve for x
    x = 106,023,340.06/16,206.87
  6. Step 6: Final answer
    x = 6,541.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.