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Finding the Fourth Proportional to 11,923.66, 17,885.48 and 3,159.26

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Solution

The fourth proportional to 11,923.66, 17,885.48 and 3,159.26 is: 4,738.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,923.66 : 17,885.48 = 3,159.26 : x
  2. Step 2: Convert to fraction form
    11,923.66/17,885.48 = 3,159.26/x
  3. Step 3: Cross multiply
    11,923.66x = 17,885.48 × 3,159.26
  4. Step 4: Simplify right side
    11,923.66x = 56,504,881.54
  5. Step 5: Solve for x
    x = 56,504,881.54/11,923.66
  6. Step 6: Final answer
    x = 4,738.89

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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.