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Finding the Fourth Proportional to 17,194.83, 23,729.12 and 10,024.55

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Solution

The fourth proportional to 17,194.83, 23,729.12 and 10,024.55 is: 13,834.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,194.83 : 23,729.12 = 10,024.55 : x
  2. Step 2: Convert to fraction form
    17,194.83/23,729.12 = 10,024.55/x
  3. Step 3: Cross multiply
    17,194.83x = 23,729.12 × 10,024.55
  4. Step 4: Simplify right side
    17,194.83x = 237,873,695.48
  5. Step 5: Solve for x
    x = 237,873,695.48/17,194.83
  6. Step 6: Final answer
    x = 13,834.02

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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.