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Finding the Fourth Proportional to 13,419.57, 18,515.67 and 7,449.75

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Solution

The fourth proportional to 13,419.57, 18,515.67 and 7,449.75 is: 10,278.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,419.57 : 18,515.67 = 7,449.75 : x
  2. Step 2: Convert to fraction form
    13,419.57/18,515.67 = 7,449.75/x
  3. Step 3: Cross multiply
    13,419.57x = 18,515.67 × 7,449.75
  4. Step 4: Simplify right side
    13,419.57x = 137,937,112.58
  5. Step 5: Solve for x
    x = 137,937,112.58/13,419.57
  6. Step 6: Final answer
    x = 10,278.80

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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.