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Finding the Fourth Proportional to 34,198.80, 51,267.24 and 13,416.72

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Solution

The fourth proportional to 34,198.80, 51,267.24 and 13,416.72 is: 20,112.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,198.80 : 51,267.24 = 13,416.72 : x
  2. Step 2: Convert to fraction form
    34,198.80/51,267.24 = 13,416.72/x
  3. Step 3: Cross multiply
    34,198.80x = 51,267.24 × 13,416.72
  4. Step 4: Simplify right side
    34,198.80x = 687,838,204.25
  5. Step 5: Solve for x
    x = 687,838,204.25/34,198.80
  6. Step 6: Final answer
    x = 20,112.93

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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.