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Finding the Fourth Proportional to 12,836.94, 17,710.26 and 7,529.82

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Solution

The fourth proportional to 12,836.94, 17,710.26 and 7,529.82 is: 10,388.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,836.94 : 17,710.26 = 7,529.82 : x
  2. Step 2: Convert to fraction form
    12,836.94/17,710.26 = 7,529.82/x
  3. Step 3: Cross multiply
    12,836.94x = 17,710.26 × 7,529.82
  4. Step 4: Simplify right side
    12,836.94x = 133,355,069.95
  5. Step 5: Solve for x
    x = 133,355,069.95/12,836.94
  6. Step 6: Final answer
    x = 10,388.38

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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.