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Finding the Fourth Proportional to 16,294.34, 24,446.98 and 5,202.61

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Solution

The fourth proportional to 16,294.34, 24,446.98 and 5,202.61 is: 7,805.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.34 : 24,446.98 = 5,202.61 : x
  2. Step 2: Convert to fraction form
    16,294.34/24,446.98 = 5,202.61/x
  3. Step 3: Cross multiply
    16,294.34x = 24,446.98 × 5,202.61
  4. Step 4: Simplify right side
    16,294.34x = 127,188,048.00
  5. Step 5: Solve for x
    x = 127,188,048.00/16,294.34
  6. Step 6: Final answer
    x = 7,805.66

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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.