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Finding the Fourth Proportional to 14,101.36, 19,448.94 and 9,851.02

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Solution

The fourth proportional to 14,101.36, 19,448.94 and 9,851.02 is: 13,586.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,101.36 : 19,448.94 = 9,851.02 : x
  2. Step 2: Convert to fraction form
    14,101.36/19,448.94 = 9,851.02/x
  3. Step 3: Cross multiply
    14,101.36x = 19,448.94 × 9,851.02
  4. Step 4: Simplify right side
    14,101.36x = 191,591,896.92
  5. Step 5: Solve for x
    x = 191,591,896.92/14,101.36
  6. Step 6: Final answer
    x = 13,586.77

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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.