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Finding the Fourth Proportional to 12,992, 17,928.96 and 7,403

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Solution

The fourth proportional to 12,992, 17,928.96 and 7,403 is: 10,216.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,992 : 17,928.96 = 7,403 : x
  2. Step 2: Convert to fraction form
    12,992/17,928.96 = 7,403/x
  3. Step 3: Cross multiply
    12,992x = 17,928.96 × 7,403
  4. Step 4: Simplify right side
    12,992x = 132,728,090.88
  5. Step 5: Solve for x
    x = 132,728,090.88/12,992
  6. Step 6: Final answer
    x = 10,216.14

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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.