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Finding the Fourth Proportional to 13,037.24, 17,991.48 and 7,069

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Solution

The fourth proportional to 13,037.24, 17,991.48 and 7,069 is: 9,755.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,037.24 : 17,991.48 = 7,069 : x
  2. Step 2: Convert to fraction form
    13,037.24/17,991.48 = 7,069/x
  3. Step 3: Cross multiply
    13,037.24x = 17,991.48 × 7,069
  4. Step 4: Simplify right side
    13,037.24x = 127,181,772.12
  5. Step 5: Solve for x
    x = 127,181,772.12/13,037.24
  6. Step 6: Final answer
    x = 9,755.27

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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.