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Finding the Fourth Proportional to 13,015.28, 17,961.08 and 7,047

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Solution

The fourth proportional to 13,015.28, 17,961.08 and 7,047 is: 9,724.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,015.28 : 17,961.08 = 7,047 : x
  2. Step 2: Convert to fraction form
    13,015.28/17,961.08 = 7,047/x
  3. Step 3: Cross multiply
    13,015.28x = 17,961.08 × 7,047
  4. Step 4: Simplify right side
    13,015.28x = 126,571,695.53
  5. Step 5: Solve for x
    x = 126,571,695.53/13,015.28
  6. Step 6: Final answer
    x = 9,724.85

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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.