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Finding the Fourth Proportional to 20,775.20, 31,144.08 and 7,618.40

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Solution

The fourth proportional to 20,775.20, 31,144.08 and 7,618.40 is: 11,420.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,775.20 : 31,144.08 = 7,618.40 : x
  2. Step 2: Convert to fraction form
    20,775.20/31,144.08 = 7,618.40/x
  3. Step 3: Cross multiply
    20,775.20x = 31,144.08 × 7,618.40
  4. Step 4: Simplify right side
    20,775.20x = 237,268,059.07
  5. Step 5: Solve for x
    x = 237,268,059.07/20,775.20
  6. Step 6: Final answer
    x = 11,420.74

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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.