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Finding the Fourth Proportional to 20,513.12, 30,769.81 and 7,365.60

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Solution

The fourth proportional to 20,513.12, 30,769.81 and 7,365.60 is: 11,048.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,513.12 : 30,769.81 = 7,365.60 : x
  2. Step 2: Convert to fraction form
    20,513.12/30,769.81 = 7,365.60/x
  3. Step 3: Cross multiply
    20,513.12x = 30,769.81 × 7,365.60
  4. Step 4: Simplify right side
    20,513.12x = 226,638,094.12
  5. Step 5: Solve for x
    x = 226,638,094.12/20,513.12
  6. Step 6: Final answer
    x = 11,048.45

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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.