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Finding the Fourth Proportional to 13,776.84, 19,010.94 and 8,111.82

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Solution

The fourth proportional to 13,776.84, 19,010.94 and 8,111.82 is: 11,193.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776.84 : 19,010.94 = 8,111.82 : x
  2. Step 2: Convert to fraction form
    13,776.84/19,010.94 = 8,111.82/x
  3. Step 3: Cross multiply
    13,776.84x = 19,010.94 × 8,111.82
  4. Step 4: Simplify right side
    13,776.84x = 154,213,323.31
  5. Step 5: Solve for x
    x = 154,213,323.31/13,776.84
  6. Step 6: Final answer
    x = 11,193.66

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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.