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Finding the Fourth Proportional to 13,470.25, 18,589.59 and 7,805.26

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Solution

The fourth proportional to 13,470.25, 18,589.59 and 7,805.26 is: 10,771.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,470.25 : 18,589.59 = 7,805.26 : x
  2. Step 2: Convert to fraction form
    13,470.25/18,589.59 = 7,805.26/x
  3. Step 3: Cross multiply
    13,470.25x = 18,589.59 × 7,805.26
  4. Step 4: Simplify right side
    13,470.25x = 145,096,583.24
  5. Step 5: Solve for x
    x = 145,096,583.24/13,470.25
  6. Step 6: Final answer
    x = 10,771.63

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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.