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Finding the Fourth Proportional to 20,022.96, 30,038.68 and 5,984.08

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Solution

The fourth proportional to 20,022.96, 30,038.68 and 5,984.08 is: 8,977.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,022.96 : 30,038.68 = 5,984.08 : x
  2. Step 2: Convert to fraction form
    20,022.96/30,038.68 = 5,984.08/x
  3. Step 3: Cross multiply
    20,022.96x = 30,038.68 × 5,984.08
  4. Step 4: Simplify right side
    20,022.96x = 179,753,864.21
  5. Step 5: Solve for x
    x = 179,753,864.21/20,022.96
  6. Step 6: Final answer
    x = 8,977.39

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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.