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Finding the Fourth Proportional to 16,083, 24,137.46 and 8,294.04

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Solution

The fourth proportional to 16,083, 24,137.46 and 8,294.04 is: 12,447.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,083 : 24,137.46 = 8,294.04 : x
  2. Step 2: Convert to fraction form
    16,083/24,137.46 = 8,294.04/x
  3. Step 3: Cross multiply
    16,083x = 24,137.46 × 8,294.04
  4. Step 4: Simplify right side
    16,083x = 200,197,058.74
  5. Step 5: Solve for x
    x = 200,197,058.74/16,083
  6. Step 6: Final answer
    x = 12,447.74

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Why These Related Problems?

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