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Finding the Fourth Proportional to 16,564.23, 24,827.31 and 8,249.99

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Solution

The fourth proportional to 16,564.23, 24,827.31 and 8,249.99 is: 12,365.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,564.23 : 24,827.31 = 8,249.99 : x
  2. Step 2: Convert to fraction form
    16,564.23/24,827.31 = 8,249.99/x
  3. Step 3: Cross multiply
    16,564.23x = 24,827.31 × 8,249.99
  4. Step 4: Simplify right side
    16,564.23x = 204,824,935.09
  5. Step 5: Solve for x
    x = 204,824,935.09/16,564.23
  6. Step 6: Final answer
    x = 12,365.50

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1.5x scale

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.