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Finding the Fourth Proportional to 13,846.50, 19,110.34 and 8,260.74

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Solution

The fourth proportional to 13,846.50, 19,110.34 and 8,260.74 is: 11,401.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.50 : 19,110.34 = 8,260.74 : x
  2. Step 2: Convert to fraction form
    13,846.50/19,110.34 = 8,260.74/x
  3. Step 3: Cross multiply
    13,846.50x = 19,110.34 × 8,260.74
  4. Step 4: Simplify right side
    13,846.50x = 157,865,550.05
  5. Step 5: Solve for x
    x = 157,865,550.05/13,846.50
  6. Step 6: Final answer
    x = 11,401.12

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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.