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Finding the Fourth Proportional to 20,189.96, 30,276.30 and 7,038.44

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Solution

The fourth proportional to 20,189.96, 30,276.30 and 7,038.44 is: 10,554.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,189.96 : 30,276.30 = 7,038.44 : x
  2. Step 2: Convert to fraction form
    20,189.96/30,276.30 = 7,038.44/x
  3. Step 3: Cross multiply
    20,189.96x = 30,276.30 × 7,038.44
  4. Step 4: Simplify right side
    20,189.96x = 213,097,920.97
  5. Step 5: Solve for x
    x = 213,097,920.97/20,189.96
  6. Step 6: Final answer
    x = 10,554.65

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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.