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Finding the Fourth Proportional to 13,412.62, 18,506.67 and 7,443.02

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Solution

The fourth proportional to 13,412.62, 18,506.67 and 7,443.02 is: 10,269.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,412.62 : 18,506.67 = 7,443.02 : x
  2. Step 2: Convert to fraction form
    13,412.62/18,506.67 = 7,443.02/x
  3. Step 3: Cross multiply
    13,412.62x = 18,506.67 × 7,443.02
  4. Step 4: Simplify right side
    13,412.62x = 137,745,561.21
  5. Step 5: Solve for x
    x = 137,745,561.21/13,412.62
  6. Step 6: Final answer
    x = 10,269.85

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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.