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Finding the Fourth Proportional to 16,310.86, 24,461.16 and 6,950.68

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Solution

The fourth proportional to 16,310.86, 24,461.16 and 6,950.68 is: 10,423.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,310.86 : 24,461.16 = 6,950.68 : x
  2. Step 2: Convert to fraction form
    16,310.86/24,461.16 = 6,950.68/x
  3. Step 3: Cross multiply
    16,310.86x = 24,461.16 × 6,950.68
  4. Step 4: Simplify right side
    16,310.86x = 170,021,695.59
  5. Step 5: Solve for x
    x = 170,021,695.59/16,310.86
  6. Step 6: Final answer
    x = 10,423.83

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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.