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Finding the Fourth Proportional to 12,710.41, 19,062 and 8,023.41

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Solution

The fourth proportional to 12,710.41, 19,062 and 8,023.41 is: 12,032.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,710.41 : 19,062 = 8,023.41 : x
  2. Step 2: Convert to fraction form
    12,710.41/19,062 = 8,023.41/x
  3. Step 3: Cross multiply
    12,710.41x = 19,062 × 8,023.41
  4. Step 4: Simplify right side
    12,710.41x = 152,942,241.42
  5. Step 5: Solve for x
    x = 152,942,241.42/12,710.41
  6. Step 6: Final answer
    x = 12,032.83

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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.