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Finding the Fourth Proportional to 17,949.89, 24,773.16 and 10,296.14

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Solution

The fourth proportional to 17,949.89, 24,773.16 and 10,296.14 is: 14,210.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,949.89 : 24,773.16 = 10,296.14 : x
  2. Step 2: Convert to fraction form
    17,949.89/24,773.16 = 10,296.14/x
  3. Step 3: Cross multiply
    17,949.89x = 24,773.16 × 10,296.14
  4. Step 4: Simplify right side
    17,949.89x = 255,067,985.54
  5. Step 5: Solve for x
    x = 255,067,985.54/17,949.89
  6. Step 6: Final answer
    x = 14,210.01

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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.