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Finding the Fourth Proportional to 13,947.72, 19,249.08 and 7,661.40

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Solution

The fourth proportional to 13,947.72, 19,249.08 and 7,661.40 is: 10,573.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,947.72 : 19,249.08 = 7,661.40 : x
  2. Step 2: Convert to fraction form
    13,947.72/19,249.08 = 7,661.40/x
  3. Step 3: Cross multiply
    13,947.72x = 19,249.08 × 7,661.40
  4. Step 4: Simplify right side
    13,947.72x = 147,474,901.51
  5. Step 5: Solve for x
    x = 147,474,901.51/13,947.72
  6. Step 6: Final answer
    x = 10,573.41

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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.