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Finding the Fourth Proportional to 16,283.43, 24,408.54 and 6,417.23

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Solution

The fourth proportional to 16,283.43, 24,408.54 and 6,417.23 is: 9,619.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,283.43 : 24,408.54 = 6,417.23 : x
  2. Step 2: Convert to fraction form
    16,283.43/24,408.54 = 6,417.23/x
  3. Step 3: Cross multiply
    16,283.43x = 24,408.54 × 6,417.23
  4. Step 4: Simplify right side
    16,283.43x = 156,635,093.10
  5. Step 5: Solve for x
    x = 156,635,093.10/16,283.43
  6. Step 6: Final answer
    x = 9,619.29

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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.