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Finding the Fourth Proportional to 16,321.14, 24,483.41 and 6,962.14

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Solution

The fourth proportional to 16,321.14, 24,483.41 and 6,962.14 is: 10,443.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,321.14 : 24,483.41 = 6,962.14 : x
  2. Step 2: Convert to fraction form
    16,321.14/24,483.41 = 6,962.14/x
  3. Step 3: Cross multiply
    16,321.14x = 24,483.41 × 6,962.14
  4. Step 4: Simplify right side
    16,321.14x = 170,456,893.29
  5. Step 5: Solve for x
    x = 170,456,893.29/16,321.14
  6. Step 6: Final answer
    x = 10,443.94

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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.