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Finding the Fourth Proportional to 13,900.49, 19,184.54 and 8,234.80

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Solution

The fourth proportional to 13,900.49, 19,184.54 and 8,234.80 is: 11,365.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,900.49 : 19,184.54 = 8,234.80 : x
  2. Step 2: Convert to fraction form
    13,900.49/19,184.54 = 8,234.80/x
  3. Step 3: Cross multiply
    13,900.49x = 19,184.54 × 8,234.80
  4. Step 4: Simplify right side
    13,900.49x = 157,980,849.99
  5. Step 5: Solve for x
    x = 157,980,849.99/13,900.49
  6. Step 6: Final answer
    x = 11,365.13

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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.