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Finding the Fourth Proportional to 12,992.43, 19,456.75 and 8,298.58

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Solution

The fourth proportional to 12,992.43, 19,456.75 and 8,298.58 is: 12,427.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,992.43 : 19,456.75 = 8,298.58 : x
  2. Step 2: Convert to fraction form
    12,992.43/19,456.75 = 8,298.58/x
  3. Step 3: Cross multiply
    12,992.43x = 19,456.75 × 8,298.58
  4. Step 4: Simplify right side
    12,992.43x = 161,463,396.42
  5. Step 5: Solve for x
    x = 161,463,396.42/12,992.43
  6. Step 6: Final answer
    x = 12,427.50

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Why These Related Problems?

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