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Finding the Fourth Proportional to 20,384.28, 30,577.08 and 5,593.14

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Solution

The fourth proportional to 20,384.28, 30,577.08 and 5,593.14 is: 8,389.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,384.28 : 30,577.08 = 5,593.14 : x
  2. Step 2: Convert to fraction form
    20,384.28/30,577.08 = 5,593.14/x
  3. Step 3: Cross multiply
    20,384.28x = 30,577.08 × 5,593.14
  4. Step 4: Simplify right side
    20,384.28x = 171,021,889.23
  5. Step 5: Solve for x
    x = 171,021,889.23/20,384.28
  6. Step 6: Final answer
    x = 8,389.89

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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.