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Finding the Fourth Proportional to 13,782.17, 18,991.20 and 13,037.78

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Solution

The fourth proportional to 13,782.17, 18,991.20 and 13,037.78 is: 17,965.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,782.17 : 18,991.20 = 13,037.78 : x
  2. Step 2: Convert to fraction form
    13,782.17/18,991.20 = 13,037.78/x
  3. Step 3: Cross multiply
    13,782.17x = 18,991.20 × 13,037.78
  4. Step 4: Simplify right side
    13,782.17x = 247,602,992.58
  5. Step 5: Solve for x
    x = 247,602,992.58/13,782.17
  6. Step 6: Final answer
    x = 17,965.46

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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.