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Finding the Fourth Proportional to 14,709.62, 22,064.39 and 6,388.56

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Solution

The fourth proportional to 14,709.62, 22,064.39 and 6,388.56 is: 9,582.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,709.62 : 22,064.39 = 6,388.56 : x
  2. Step 2: Convert to fraction form
    14,709.62/22,064.39 = 6,388.56/x
  3. Step 3: Cross multiply
    14,709.62x = 22,064.39 × 6,388.56
  4. Step 4: Simplify right side
    14,709.62x = 140,959,647.44
  5. Step 5: Solve for x
    x = 140,959,647.44/14,709.62
  6. Step 6: Final answer
    x = 9,582.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.