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Finding the Fourth Proportional to 16,312.68, 24,469.02 and 5,922

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Solution

The fourth proportional to 16,312.68, 24,469.02 and 5,922 is: 8,883

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,312.68 : 24,469.02 = 5,922 : x
  2. Step 2: Convert to fraction form
    16,312.68/24,469.02 = 5,922/x
  3. Step 3: Cross multiply
    16,312.68x = 24,469.02 × 5,922
  4. Step 4: Simplify right side
    16,312.68x = 144,905,536.44
  5. Step 5: Solve for x
    x = 144,905,536.44/16,312.68
  6. Step 6: Final answer
    x = 8,883

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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.