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Finding the Fourth Proportional to 13,409.64, 18,505.30 and 7,441.31

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Solution

The fourth proportional to 13,409.64, 18,505.30 and 7,441.31 is: 10,269.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.64 : 18,505.30 = 7,441.31 : x
  2. Step 2: Convert to fraction form
    13,409.64/18,505.30 = 7,441.31/x
  3. Step 3: Cross multiply
    13,409.64x = 18,505.30 × 7,441.31
  4. Step 4: Simplify right side
    13,409.64x = 137,703,673.94
  5. Step 5: Solve for x
    x = 137,703,673.94/13,409.64
  6. Step 6: Final answer
    x = 10,269.01

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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.