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Finding the Fourth Proportional to 13,984.65, 19,297.44 and 8,014.95

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Solution

The fourth proportional to 13,984.65, 19,297.44 and 8,014.95 is: 11,059.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,984.65 : 19,297.44 = 8,014.95 : x
  2. Step 2: Convert to fraction form
    13,984.65/19,297.44 = 8,014.95/x
  3. Step 3: Cross multiply
    13,984.65x = 19,297.44 × 8,014.95
  4. Step 4: Simplify right side
    13,984.65x = 154,668,016.73
  5. Step 5: Solve for x
    x = 154,668,016.73/13,984.65
  6. Step 6: Final answer
    x = 11,059.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.