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Finding the Fourth Proportional to 20,873.68, 31,307.48 and 6,078.62

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Solution

The fourth proportional to 20,873.68, 31,307.48 and 6,078.62 is: 9,117.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,873.68 : 31,307.48 = 6,078.62 : x
  2. Step 2: Convert to fraction form
    20,873.68/31,307.48 = 6,078.62/x
  3. Step 3: Cross multiply
    20,873.68x = 31,307.48 × 6,078.62
  4. Step 4: Simplify right side
    20,873.68x = 190,306,414.85
  5. Step 5: Solve for x
    x = 190,306,414.85/20,873.68
  6. Step 6: Final answer
    x = 9,117.05

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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.