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Finding the Fourth Proportional to 23,105.73, 31,885.74 and 13,034.25

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Solution

The fourth proportional to 23,105.73, 31,885.74 and 13,034.25 is: 17,987.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,105.73 : 31,885.74 = 13,034.25 : x
  2. Step 2: Convert to fraction form
    23,105.73/31,885.74 = 13,034.25/x
  3. Step 3: Cross multiply
    23,105.73x = 31,885.74 × 13,034.25
  4. Step 4: Simplify right side
    23,105.73x = 415,606,706.60
  5. Step 5: Solve for x
    x = 415,606,706.60/23,105.73
  6. Step 6: Final answer
    x = 17,987.17

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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.