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Finding the Fourth Proportional to 17,589.90, 24,283.89 and 11,955

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Solution

The fourth proportional to 17,589.90, 24,283.89 and 11,955 is: 16,504.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,589.90 : 24,283.89 = 11,955 : x
  2. Step 2: Convert to fraction form
    17,589.90/24,283.89 = 11,955/x
  3. Step 3: Cross multiply
    17,589.90x = 24,283.89 × 11,955
  4. Step 4: Simplify right side
    17,589.90x = 290,313,904.95
  5. Step 5: Solve for x
    x = 290,313,904.95/17,589.90
  6. Step 6: Final answer
    x = 16,504.58

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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.