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Finding the Fourth Proportional to 20,357.16, 30,536.16 and 13,381.65

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Solution

The fourth proportional to 20,357.16, 30,536.16 and 13,381.65 is: 20,072.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,357.16 : 30,536.16 = 13,381.65 : x
  2. Step 2: Convert to fraction form
    20,357.16/30,536.16 = 13,381.65/x
  3. Step 3: Cross multiply
    20,357.16x = 30,536.16 × 13,381.65
  4. Step 4: Simplify right side
    20,357.16x = 408,624,205.46
  5. Step 5: Solve for x
    x = 408,624,205.46/20,357.16
  6. Step 6: Final answer
    x = 20,072.75

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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.