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Finding the Fourth Proportional to 13,759.04, 18,992.32 and 8,170

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Solution

The fourth proportional to 13,759.04, 18,992.32 and 8,170 is: 11,277.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,759.04 : 18,992.32 = 8,170 : x
  2. Step 2: Convert to fraction form
    13,759.04/18,992.32 = 8,170/x
  3. Step 3: Cross multiply
    13,759.04x = 18,992.32 × 8,170
  4. Step 4: Simplify right side
    13,759.04x = 155,167,254.40
  5. Step 5: Solve for x
    x = 155,167,254.40/13,759.04
  6. Step 6: Final answer
    x = 11,277.48

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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.