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Finding the Fourth Proportional to 12,947.36, 17,866.94 and 7,282.32

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Solution

The fourth proportional to 12,947.36, 17,866.94 and 7,282.32 is: 10,049.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,947.36 : 17,866.94 = 7,282.32 : x
  2. Step 2: Convert to fraction form
    12,947.36/17,866.94 = 7,282.32/x
  3. Step 3: Cross multiply
    12,947.36x = 17,866.94 × 7,282.32
  4. Step 4: Simplify right side
    12,947.36x = 130,112,774.50
  5. Step 5: Solve for x
    x = 130,112,774.50/12,947.36
  6. Step 6: Final answer
    x = 10,049.37

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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.