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Finding the Fourth Proportional to 12,947.33, 17,866.62 and 7,640.21

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Solution

The fourth proportional to 12,947.33, 17,866.62 and 7,640.21 is: 10,543.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,947.33 : 17,866.62 = 7,640.21 : x
  2. Step 2: Convert to fraction form
    12,947.33/17,866.62 = 7,640.21/x
  3. Step 3: Cross multiply
    12,947.33x = 17,866.62 × 7,640.21
  4. Step 4: Simplify right side
    12,947.33x = 136,504,639.46
  5. Step 5: Solve for x
    x = 136,504,639.46/12,947.33
  6. Step 6: Final answer
    x = 10,543.08

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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.