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Finding the Fourth Proportional to 20,786.34, 28,684.08 and 11,353.08

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Solution

The fourth proportional to 20,786.34, 28,684.08 and 11,353.08 is: 15,666.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,786.34 : 28,684.08 = 11,353.08 : x
  2. Step 2: Convert to fraction form
    20,786.34/28,684.08 = 11,353.08/x
  3. Step 3: Cross multiply
    20,786.34x = 28,684.08 × 11,353.08
  4. Step 4: Simplify right side
    20,786.34x = 325,652,654.97
  5. Step 5: Solve for x
    x = 325,652,654.97/20,786.34
  6. Step 6: Final answer
    x = 15,666.67

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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.