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Finding the Fourth Proportional to 16,328.94, 24,493.41 and 7,561.50

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Solution

The fourth proportional to 16,328.94, 24,493.41 and 7,561.50 is: 11,342.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,328.94 : 24,493.41 = 7,561.50 : x
  2. Step 2: Convert to fraction form
    16,328.94/24,493.41 = 7,561.50/x
  3. Step 3: Cross multiply
    16,328.94x = 24,493.41 × 7,561.50
  4. Step 4: Simplify right side
    16,328.94x = 185,206,919.72
  5. Step 5: Solve for x
    x = 185,206,919.72/16,328.94
  6. Step 6: Final answer
    x = 11,342.25

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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.