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Finding the Fourth Proportional to 20,176.68, 30,273.90 and 7,038.48

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Solution

The fourth proportional to 20,176.68, 30,273.90 and 7,038.48 is: 10,560.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,176.68 : 30,273.90 = 7,038.48 : x
  2. Step 2: Convert to fraction form
    20,176.68/30,273.90 = 7,038.48/x
  3. Step 3: Cross multiply
    20,176.68x = 30,273.90 × 7,038.48
  4. Step 4: Simplify right side
    20,176.68x = 213,082,239.67
  5. Step 5: Solve for x
    x = 213,082,239.67/20,176.68
  6. Step 6: Final answer
    x = 10,560.82

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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.