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Finding the Fourth Proportional to 13,037.67, 17,994.47 and 7,735.41

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Solution

The fourth proportional to 13,037.67, 17,994.47 and 7,735.41 is: 10,676.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,037.67 : 17,994.47 = 7,735.41 : x
  2. Step 2: Convert to fraction form
    13,037.67/17,994.47 = 7,735.41/x
  3. Step 3: Cross multiply
    13,037.67x = 17,994.47 × 7,735.41
  4. Step 4: Simplify right side
    13,037.67x = 139,194,564.51
  5. Step 5: Solve for x
    x = 139,194,564.51/13,037.67
  6. Step 6: Final answer
    x = 10,676.34

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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.