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Finding the Fourth Proportional to 19,734, 27,233.73 and 11,350.50

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Solution

The fourth proportional to 19,734, 27,233.73 and 11,350.50 is: 15,664.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,734 : 27,233.73 = 11,350.50 : x
  2. Step 2: Convert to fraction form
    19,734/27,233.73 = 11,350.50/x
  3. Step 3: Cross multiply
    19,734x = 27,233.73 × 11,350.50
  4. Step 4: Simplify right side
    19,734x = 309,116,452.37
  5. Step 5: Solve for x
    x = 309,116,452.37/19,734
  6. Step 6: Final answer
    x = 15,664.16

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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.