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Finding the Fourth Proportional to 24,806.25, 34,233.03 and 14,201.73

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Solution

The fourth proportional to 24,806.25, 34,233.03 and 14,201.73 is: 19,598.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,806.25 : 34,233.03 = 14,201.73 : x
  2. Step 2: Convert to fraction form
    24,806.25/34,233.03 = 14,201.73/x
  3. Step 3: Cross multiply
    24,806.25x = 34,233.03 × 14,201.73
  4. Step 4: Simplify right side
    24,806.25x = 486,168,249.14
  5. Step 5: Solve for x
    x = 486,168,249.14/24,806.25
  6. Step 6: Final answer
    x = 19,598.62

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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.