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Finding the Fourth Proportional to 16,534.26, 24,805.02 and 5,440.50

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Solution

The fourth proportional to 16,534.26, 24,805.02 and 5,440.50 is: 8,161.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,534.26 : 24,805.02 = 5,440.50 : x
  2. Step 2: Convert to fraction form
    16,534.26/24,805.02 = 5,440.50/x
  3. Step 3: Cross multiply
    16,534.26x = 24,805.02 × 5,440.50
  4. Step 4: Simplify right side
    16,534.26x = 134,951,711.31
  5. Step 5: Solve for x
    x = 134,951,711.31/16,534.26
  6. Step 6: Final answer
    x = 8,161.94

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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.