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Finding the Fourth Proportional to 13,471.49, 18,589.93 and 7,421.53

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Solution

The fourth proportional to 13,471.49, 18,589.93 and 7,421.53 is: 10,241.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,471.49 : 18,589.93 = 7,421.53 : x
  2. Step 2: Convert to fraction form
    13,471.49/18,589.93 = 7,421.53/x
  3. Step 3: Cross multiply
    13,471.49x = 18,589.93 × 7,421.53
  4. Step 4: Simplify right side
    13,471.49x = 137,965,723.19
  5. Step 5: Solve for x
    x = 137,965,723.19/13,471.49
  6. Step 6: Final answer
    x = 10,241.31

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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.