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Finding the Fourth Proportional to 16,309.86, 24,468.89 and 4,623.08

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Solution

The fourth proportional to 16,309.86, 24,468.89 and 4,623.08 is: 6,935.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,309.86 : 24,468.89 = 4,623.08 : x
  2. Step 2: Convert to fraction form
    16,309.86/24,468.89 = 4,623.08/x
  3. Step 3: Cross multiply
    16,309.86x = 24,468.89 × 4,623.08
  4. Step 4: Simplify right side
    16,309.86x = 113,121,635.98
  5. Step 5: Solve for x
    x = 113,121,635.98/16,309.86
  6. Step 6: Final answer
    x = 6,935.78

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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.