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Finding the Fourth Proportional to 34,259.75, 51,375.99 and 13,188.05

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Solution

The fourth proportional to 34,259.75, 51,375.99 and 13,188.05 is: 19,776.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,259.75 : 51,375.99 = 13,188.05 : x
  2. Step 2: Convert to fraction form
    34,259.75/51,375.99 = 13,188.05/x
  3. Step 3: Cross multiply
    34,259.75x = 51,375.99 × 13,188.05
  4. Step 4: Simplify right side
    34,259.75x = 677,549,124.92
  5. Step 5: Solve for x
    x = 677,549,124.92/34,259.75
  6. Step 6: Final answer
    x = 19,776.83

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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.