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Finding the Fourth Proportional to 12,896.47, 17,800.81 and 7,594.36

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Solution

The fourth proportional to 12,896.47, 17,800.81 and 7,594.36 is: 10,482.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,896.47 : 17,800.81 = 7,594.36 : x
  2. Step 2: Convert to fraction form
    12,896.47/17,800.81 = 7,594.36/x
  3. Step 3: Cross multiply
    12,896.47x = 17,800.81 × 7,594.36
  4. Step 4: Simplify right side
    12,896.47x = 135,185,738.66
  5. Step 5: Solve for x
    x = 135,185,738.66/12,896.47
  6. Step 6: Final answer
    x = 10,482.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.