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Finding the Fourth Proportional to 16,211.34, 24,317.02 and 8,403.75

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Solution

The fourth proportional to 16,211.34, 24,317.02 and 8,403.75 is: 12,605.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,211.34 : 24,317.02 = 8,403.75 : x
  2. Step 2: Convert to fraction form
    16,211.34/24,317.02 = 8,403.75/x
  3. Step 3: Cross multiply
    16,211.34x = 24,317.02 × 8,403.75
  4. Step 4: Simplify right side
    16,211.34x = 204,354,156.83
  5. Step 5: Solve for x
    x = 204,354,156.83/16,211.34
  6. Step 6: Final answer
    x = 12,605.63

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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.