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Finding the Fourth Proportional to 11,923.44, 17,883.12 and 3,159.24

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Solution

The fourth proportional to 11,923.44, 17,883.12 and 3,159.24 is: 4,738.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,923.44 : 17,883.12 = 3,159.24 : x
  2. Step 2: Convert to fraction form
    11,923.44/17,883.12 = 3,159.24/x
  3. Step 3: Cross multiply
    11,923.44x = 17,883.12 × 3,159.24
  4. Step 4: Simplify right side
    11,923.44x = 56,497,068.03
  5. Step 5: Solve for x
    x = 56,497,068.03/11,923.44
  6. Step 6: Final answer
    x = 4,738.32

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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.