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Finding the Fourth Proportional to 14,201.97, 19,598.70 and 7,914.36

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Solution

The fourth proportional to 14,201.97, 19,598.70 and 7,914.36 is: 10,921.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,201.97 : 19,598.70 = 7,914.36 : x
  2. Step 2: Convert to fraction form
    14,201.97/19,598.70 = 7,914.36/x
  3. Step 3: Cross multiply
    14,201.97x = 19,598.70 × 7,914.36
  4. Step 4: Simplify right side
    14,201.97x = 155,111,167.33
  5. Step 5: Solve for x
    x = 155,111,167.33/14,201.97
  6. Step 6: Final answer
    x = 10,921.81

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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.