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Finding the Fourth Proportional to 19,619.92, 29,415.48 and 9,226

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Solution

The fourth proportional to 19,619.92, 29,415.48 and 9,226 is: 13,832.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,619.92 : 29,415.48 = 9,226 : x
  2. Step 2: Convert to fraction form
    19,619.92/29,415.48 = 9,226/x
  3. Step 3: Cross multiply
    19,619.92x = 29,415.48 × 9,226
  4. Step 4: Simplify right side
    19,619.92x = 271,387,218.48
  5. Step 5: Solve for x
    x = 271,387,218.48/19,619.92
  6. Step 6: Final answer
    x = 13,832.23

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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.