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Finding the Fourth Proportional to 19,997.60, 29,976.50 and 9,448.94

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Solution

The fourth proportional to 19,997.60, 29,976.50 and 9,448.94 is: 14,164.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,997.60 : 29,976.50 = 9,448.94 : x
  2. Step 2: Convert to fraction form
    19,997.60/29,976.50 = 9,448.94/x
  3. Step 3: Cross multiply
    19,997.60x = 29,976.50 × 9,448.94
  4. Step 4: Simplify right side
    19,997.60x = 283,246,248.47
  5. Step 5: Solve for x
    x = 283,246,248.47/19,997.60
  6. Step 6: Final answer
    x = 14,164.02

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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.