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Finding the Fourth Proportional to 13,258.80, 19,883.61 and 3,896.37

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Solution

The fourth proportional to 13,258.80, 19,883.61 and 3,896.37 is: 5,843.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,258.80 : 19,883.61 = 3,896.37 : x
  2. Step 2: Convert to fraction form
    13,258.80/19,883.61 = 3,896.37/x
  3. Step 3: Cross multiply
    13,258.80x = 19,883.61 × 3,896.37
  4. Step 4: Simplify right side
    13,258.80x = 77,473,901.50
  5. Step 5: Solve for x
    x = 77,473,901.50/13,258.80
  6. Step 6: Final answer
    x = 5,843.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.