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Finding the Fourth Proportional to 16,283.98, 24,359.34 and 12,305.66

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Solution

The fourth proportional to 16,283.98, 24,359.34 and 12,305.66 is: 18,408.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,283.98 : 24,359.34 = 12,305.66 : x
  2. Step 2: Convert to fraction form
    16,283.98/24,359.34 = 12,305.66/x
  3. Step 3: Cross multiply
    16,283.98x = 24,359.34 × 12,305.66
  4. Step 4: Simplify right side
    16,283.98x = 299,757,755.86
  5. Step 5: Solve for x
    x = 299,757,755.86/16,283.98
  6. Step 6: Final answer
    x = 18,408.14

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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.