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Finding the Fourth Proportional to 13,409.57, 18,504.98 and 7,441.14

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Solution

The fourth proportional to 13,409.57, 18,504.98 and 7,441.14 is: 10,268.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.57 : 18,504.98 = 7,441.14 : x
  2. Step 2: Convert to fraction form
    13,409.57/18,504.98 = 7,441.14/x
  3. Step 3: Cross multiply
    13,409.57x = 18,504.98 × 7,441.14
  4. Step 4: Simplify right side
    13,409.57x = 137,698,109.67
  5. Step 5: Solve for x
    x = 137,698,109.67/13,409.57
  6. Step 6: Final answer
    x = 10,268.64

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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.