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Finding the Fourth Proportional to 16,196.94, 24,293.30 and 6,343.20

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Solution

The fourth proportional to 16,196.94, 24,293.30 and 6,343.20 is: 9,513.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,196.94 : 24,293.30 = 6,343.20 : x
  2. Step 2: Convert to fraction form
    16,196.94/24,293.30 = 6,343.20/x
  3. Step 3: Cross multiply
    16,196.94x = 24,293.30 × 6,343.20
  4. Step 4: Simplify right side
    16,196.94x = 154,097,228.84
  5. Step 5: Solve for x
    x = 154,097,228.84/16,196.94
  6. Step 6: Final answer
    x = 9,513.97

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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.