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Finding the Fourth Proportional to 36,206.65, 54,302.55 and 13,709.57

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Solution

The fourth proportional to 36,206.65, 54,302.55 and 13,709.57 is: 20,561.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,206.65 : 54,302.55 = 13,709.57 : x
  2. Step 2: Convert to fraction form
    36,206.65/54,302.55 = 13,709.57/x
  3. Step 3: Cross multiply
    36,206.65x = 54,302.55 × 13,709.57
  4. Step 4: Simplify right side
    36,206.65x = 744,464,610.40
  5. Step 5: Solve for x
    x = 744,464,610.40/36,206.65
  6. Step 6: Final answer
    x = 20,561.54

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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.