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Finding the Fourth Proportional to 14,997.92, 22,467.63 and 9,788

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Solution

The fourth proportional to 14,997.92, 22,467.63 and 9,788 is: 14,662.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,997.92 : 22,467.63 = 9,788 : x
  2. Step 2: Convert to fraction form
    14,997.92/22,467.63 = 9,788/x
  3. Step 3: Cross multiply
    14,997.92x = 22,467.63 × 9,788
  4. Step 4: Simplify right side
    14,997.92x = 219,913,162.44
  5. Step 5: Solve for x
    x = 219,913,162.44/14,997.92
  6. Step 6: Final answer
    x = 14,662.91

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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.