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Finding the Fourth Proportional to 20,564.34, 30,805.39 and 9,455.80

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Solution

The fourth proportional to 20,564.34, 30,805.39 and 9,455.80 is: 14,164.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,564.34 : 30,805.39 = 9,455.80 : x
  2. Step 2: Convert to fraction form
    20,564.34/30,805.39 = 9,455.80/x
  3. Step 3: Cross multiply
    20,564.34x = 30,805.39 × 9,455.80
  4. Step 4: Simplify right side
    20,564.34x = 291,289,606.76
  5. Step 5: Solve for x
    x = 291,289,606.76/20,564.34
  6. Step 6: Final answer
    x = 14,164.79

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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.