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Finding the Fourth Proportional to 16,502, 24,755.06 and 5,409.81

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Solution

The fourth proportional to 16,502, 24,755.06 and 5,409.81 is: 8,115.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,502 : 24,755.06 = 5,409.81 : x
  2. Step 2: Convert to fraction form
    16,502/24,755.06 = 5,409.81/x
  3. Step 3: Cross multiply
    16,502x = 24,755.06 × 5,409.81
  4. Step 4: Simplify right side
    16,502x = 133,920,171.14
  5. Step 5: Solve for x
    x = 133,920,171.14/16,502
  6. Step 6: Final answer
    x = 8,115.39

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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.