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Finding the Fourth Proportional to 12,992.30, 19,475.17 and 4,556.28

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Solution

The fourth proportional to 12,992.30, 19,475.17 and 4,556.28 is: 6,829.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,992.30 : 19,475.17 = 4,556.28 : x
  2. Step 2: Convert to fraction form
    12,992.30/19,475.17 = 4,556.28/x
  3. Step 3: Cross multiply
    12,992.30x = 19,475.17 × 4,556.28
  4. Step 4: Simplify right side
    12,992.30x = 88,734,389.21
  5. Step 5: Solve for x
    x = 88,734,389.21/12,992.30
  6. Step 6: Final answer
    x = 6,829.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.