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Finding the Fourth Proportional to 13,037.28, 17,992 and 7,731.84

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Solution

The fourth proportional to 13,037.28, 17,992 and 7,731.84 is: 10,670.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,037.28 : 17,992 = 7,731.84 : x
  2. Step 2: Convert to fraction form
    13,037.28/17,992 = 7,731.84/x
  3. Step 3: Cross multiply
    13,037.28x = 17,992 × 7,731.84
  4. Step 4: Simplify right side
    13,037.28x = 139,111,265.28
  5. Step 5: Solve for x
    x = 139,111,265.28/13,037.28
  6. Step 6: Final answer
    x = 10,670.27

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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.