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Finding the Fourth Proportional to 13,530.62, 20,290.74 and 6,506.19

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Solution

The fourth proportional to 13,530.62, 20,290.74 and 6,506.19 is: 9,756.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,530.62 : 20,290.74 = 6,506.19 : x
  2. Step 2: Convert to fraction form
    13,530.62/20,290.74 = 6,506.19/x
  3. Step 3: Cross multiply
    13,530.62x = 20,290.74 × 6,506.19
  4. Step 4: Simplify right side
    13,530.62x = 132,015,409.68
  5. Step 5: Solve for x
    x = 132,015,409.68/13,530.62
  6. Step 6: Final answer
    x = 9,756.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.