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Finding the Fourth Proportional to 13,833.44, 19,091.74 and 7,701.76

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Solution

The fourth proportional to 13,833.44, 19,091.74 and 7,701.76 is: 10,629.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.44 : 19,091.74 = 7,701.76 : x
  2. Step 2: Convert to fraction form
    13,833.44/19,091.74 = 7,701.76/x
  3. Step 3: Cross multiply
    13,833.44x = 19,091.74 × 7,701.76
  4. Step 4: Simplify right side
    13,833.44x = 147,039,999.46
  5. Step 5: Solve for x
    x = 147,039,999.46/13,833.44
  6. Step 6: Final answer
    x = 10,629.32

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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.