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Finding the Fourth Proportional to 12,826.49, 17,699.38 and 7,520.31

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Solution

The fourth proportional to 12,826.49, 17,699.38 and 7,520.31 is: 10,377.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,826.49 : 17,699.38 = 7,520.31 : x
  2. Step 2: Convert to fraction form
    12,826.49/17,699.38 = 7,520.31/x
  3. Step 3: Cross multiply
    12,826.49x = 17,699.38 × 7,520.31
  4. Step 4: Simplify right side
    12,826.49x = 133,104,805.61
  5. Step 5: Solve for x
    x = 133,104,805.61/12,826.49
  6. Step 6: Final answer
    x = 10,377.34

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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.