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Finding the Fourth Proportional to 16,441, 24,674.94 and 11,520.52

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Solution

The fourth proportional to 16,441, 24,674.94 and 11,520.52 is: 17,290.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,441 : 24,674.94 = 11,520.52 : x
  2. Step 2: Convert to fraction form
    16,441/24,674.94 = 11,520.52/x
  3. Step 3: Cross multiply
    16,441x = 24,674.94 × 11,520.52
  4. Step 4: Simplify right side
    16,441x = 284,268,139.77
  5. Step 5: Solve for x
    x = 284,268,139.77/16,441
  6. Step 6: Final answer
    x = 17,290.20

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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.