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Finding the Fourth Proportional to 13,776.84, 20,672.79 and 7,208.82

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Solution

The fourth proportional to 13,776.84, 20,672.79 and 7,208.82 is: 10,817.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,776.84 : 20,672.79 = 7,208.82 : x
  2. Step 2: Convert to fraction form
    13,776.84/20,672.79 = 7,208.82/x
  3. Step 3: Cross multiply
    13,776.84x = 20,672.79 × 7,208.82
  4. Step 4: Simplify right side
    13,776.84x = 149,026,422.01
  5. Step 5: Solve for x
    x = 149,026,422.01/13,776.84
  6. Step 6: Final answer
    x = 10,817.17

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.