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Finding the Fourth Proportional to 14,705.43, 22,045.73 and 6,379.17

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Solution

The fourth proportional to 14,705.43, 22,045.73 and 6,379.17 is: 9,563.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,705.43 : 22,045.73 = 6,379.17 : x
  2. Step 2: Convert to fraction form
    14,705.43/22,045.73 = 6,379.17/x
  3. Step 3: Cross multiply
    14,705.43x = 22,045.73 × 6,379.17
  4. Step 4: Simplify right side
    14,705.43x = 140,633,459.44
  5. Step 5: Solve for x
    x = 140,633,459.44/14,705.43
  6. Step 6: Final answer
    x = 9,563.37

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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.