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Finding the Fourth Proportional to 13,819.74, 19,074.31 and 8,782.98

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Solution

The fourth proportional to 13,819.74, 19,074.31 and 8,782.98 is: 12,122.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,819.74 : 19,074.31 = 8,782.98 : x
  2. Step 2: Convert to fraction form
    13,819.74/19,074.31 = 8,782.98/x
  3. Step 3: Cross multiply
    13,819.74x = 19,074.31 × 8,782.98
  4. Step 4: Simplify right side
    13,819.74x = 167,529,187.87
  5. Step 5: Solve for x
    x = 167,529,187.87/13,819.74
  6. Step 6: Final answer
    x = 12,122.46

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.