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Finding the Fourth Proportional to 13,829.75, 19,085.73 and 7,781.88

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Solution

The fourth proportional to 13,829.75, 19,085.73 and 7,781.88 is: 10,739.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,829.75 : 19,085.73 = 7,781.88 : x
  2. Step 2: Convert to fraction form
    13,829.75/19,085.73 = 7,781.88/x
  3. Step 3: Cross multiply
    13,829.75x = 19,085.73 × 7,781.88
  4. Step 4: Simplify right side
    13,829.75x = 148,522,860.57
  5. Step 5: Solve for x
    x = 148,522,860.57/13,829.75
  6. Step 6: Final answer
    x = 10,739.37

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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.