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Finding the Fourth Proportional to 14,287.66, 19,717.02 and 7,914.43

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Solution

The fourth proportional to 14,287.66, 19,717.02 and 7,914.43 is: 10,921.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,287.66 : 19,717.02 = 7,914.43 : x
  2. Step 2: Convert to fraction form
    14,287.66/19,717.02 = 7,914.43/x
  3. Step 3: Cross multiply
    14,287.66x = 19,717.02 × 7,914.43
  4. Step 4: Simplify right side
    14,287.66x = 156,048,974.60
  5. Step 5: Solve for x
    x = 156,048,974.60/14,287.66
  6. Step 6: Final answer
    x = 10,921.94

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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.