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Finding the Fourth Proportional to 12,835.34, 17,703.60 and 8,350.73

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Solution

The fourth proportional to 12,835.34, 17,703.60 and 8,350.73 is: 11,518.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,835.34 : 17,703.60 = 8,350.73 : x
  2. Step 2: Convert to fraction form
    12,835.34/17,703.60 = 8,350.73/x
  3. Step 3: Cross multiply
    12,835.34x = 17,703.60 × 8,350.73
  4. Step 4: Simplify right side
    12,835.34x = 147,837,983.63
  5. Step 5: Solve for x
    x = 147,837,983.63/12,835.34
  6. Step 6: Final answer
    x = 11,518.04

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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.