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Finding the Fourth Proportional to 13,409.60, 18,506.61 and 7,441.31

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Solution

The fourth proportional to 13,409.60, 18,506.61 and 7,441.31 is: 10,269.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.60 : 18,506.61 = 7,441.31 : x
  2. Step 2: Convert to fraction form
    13,409.60/18,506.61 = 7,441.31/x
  3. Step 3: Cross multiply
    13,409.60x = 18,506.61 × 7,441.31
  4. Step 4: Simplify right side
    13,409.60x = 137,713,329.53
  5. Step 5: Solve for x
    x = 137,713,329.53/13,409.60
  6. Step 6: Final answer
    x = 10,269.76

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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.