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Finding the Fourth Proportional to 13,037.06, 17,991.44 and 7,729.94

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Solution

The fourth proportional to 13,037.06, 17,991.44 and 7,729.94 is: 10,667.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,037.06 : 17,991.44 = 7,729.94 : x
  2. Step 2: Convert to fraction form
    13,037.06/17,991.44 = 7,729.94/x
  3. Step 3: Cross multiply
    13,037.06x = 17,991.44 × 7,729.94
  4. Step 4: Simplify right side
    13,037.06x = 139,072,623.11
  5. Step 5: Solve for x
    x = 139,072,623.11/13,037.06
  6. Step 6: Final answer
    x = 10,667.49

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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.