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Finding the Fourth Proportional to 13,777.84, 19,012.32 and 8,112.82

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Solution

The fourth proportional to 13,777.84, 19,012.32 and 8,112.82 is: 11,195.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,777.84 : 19,012.32 = 8,112.82 : x
  2. Step 2: Convert to fraction form
    13,777.84/19,012.32 = 8,112.82/x
  3. Step 3: Cross multiply
    13,777.84x = 19,012.32 × 8,112.82
  4. Step 4: Simplify right side
    13,777.84x = 154,243,529.94
  5. Step 5: Solve for x
    x = 154,243,529.94/13,777.84
  6. Step 6: Final answer
    x = 11,195.04

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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.