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Finding the Fourth Proportional to 13,410.12, 18,505.98 and 7,441.80

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Solution

The fourth proportional to 13,410.12, 18,505.98 and 7,441.80 is: 10,269.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,410.12 : 18,505.98 = 7,441.80 : x
  2. Step 2: Convert to fraction form
    13,410.12/18,505.98 = 7,441.80/x
  3. Step 3: Cross multiply
    13,410.12x = 18,505.98 × 7,441.80
  4. Step 4: Simplify right side
    13,410.12x = 137,717,801.96
  5. Step 5: Solve for x
    x = 137,717,801.96/13,410.12
  6. Step 6: Final answer
    x = 10,269.69

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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.