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Finding the Fourth Proportional to 12,795.89, 17,657.12 and 9,440.57

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Solution

The fourth proportional to 12,795.89, 17,657.12 and 9,440.57 is: 13,027.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,795.89 : 17,657.12 = 9,440.57 : x
  2. Step 2: Convert to fraction form
    12,795.89/17,657.12 = 9,440.57/x
  3. Step 3: Cross multiply
    12,795.89x = 17,657.12 × 9,440.57
  4. Step 4: Simplify right side
    12,795.89x = 166,693,141.87
  5. Step 5: Solve for x
    x = 166,693,141.87/12,795.89
  6. Step 6: Final answer
    x = 13,027.09

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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.