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Finding the Fourth Proportional to 14,722.62, 20,317.42 and 8,435

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Solution

The fourth proportional to 14,722.62, 20,317.42 and 8,435 is: 11,640.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,722.62 : 20,317.42 = 8,435 : x
  2. Step 2: Convert to fraction form
    14,722.62/20,317.42 = 8,435/x
  3. Step 3: Cross multiply
    14,722.62x = 20,317.42 × 8,435
  4. Step 4: Simplify right side
    14,722.62x = 171,377,437.70
  5. Step 5: Solve for x
    x = 171,377,437.70/14,722.62
  6. Step 6: Final answer
    x = 11,640.42

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.