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Finding the Fourth Proportional to 20,870.82, 31,307.65 and 8,390.84

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Solution

The fourth proportional to 20,870.82, 31,307.65 and 8,390.84 is: 12,586.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,870.82 : 31,307.65 = 8,390.84 : x
  2. Step 2: Convert to fraction form
    20,870.82/31,307.65 = 8,390.84/x
  3. Step 3: Cross multiply
    20,870.82x = 31,307.65 × 8,390.84
  4. Step 4: Simplify right side
    20,870.82x = 262,697,481.93
  5. Step 5: Solve for x
    x = 262,697,481.93/20,870.82
  6. Step 6: Final answer
    x = 12,586.83

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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.