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Finding the Fourth Proportional to 16,152, 24,234.37 and 6,294.09

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Solution

The fourth proportional to 16,152, 24,234.37 and 6,294.09 is: 9,443.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,152 : 24,234.37 = 6,294.09 : x
  2. Step 2: Convert to fraction form
    16,152/24,234.37 = 6,294.09/x
  3. Step 3: Cross multiply
    16,152x = 24,234.37 × 6,294.09
  4. Step 4: Simplify right side
    16,152x = 152,533,305.87
  5. Step 5: Solve for x
    x = 152,533,305.87/16,152
  6. Step 6: Final answer
    x = 9,443.62

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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.