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Finding the Fourth Proportional to 12,870.20, 19,339.92 and 12,029.42

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Solution

The fourth proportional to 12,870.20, 19,339.92 and 12,029.42 is: 18,076.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,870.20 : 19,339.92 = 12,029.42 : x
  2. Step 2: Convert to fraction form
    12,870.20/19,339.92 = 12,029.42/x
  3. Step 3: Cross multiply
    12,870.20x = 19,339.92 × 12,029.42
  4. Step 4: Simplify right side
    12,870.20x = 232,647,923.75
  5. Step 5: Solve for x
    x = 232,647,923.75/12,870.20
  6. Step 6: Final answer
    x = 18,076.49

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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.