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Finding the Fourth Proportional to 14,216.76, 19,618.89 and 7,843.97

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Solution

The fourth proportional to 14,216.76, 19,618.89 and 7,843.97 is: 10,824.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,216.76 : 19,618.89 = 7,843.97 : x
  2. Step 2: Convert to fraction form
    14,216.76/19,618.89 = 7,843.97/x
  3. Step 3: Cross multiply
    14,216.76x = 19,618.89 × 7,843.97
  4. Step 4: Simplify right side
    14,216.76x = 153,889,984.59
  5. Step 5: Solve for x
    x = 153,889,984.59/14,216.76
  6. Step 6: Final answer
    x = 10,824.55

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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.