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Finding the Fourth Proportional to 13,786.49, 19,028.74 and 7,821.65

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Solution

The fourth proportional to 13,786.49, 19,028.74 and 7,821.65 is: 10,795.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,786.49 : 19,028.74 = 7,821.65 : x
  2. Step 2: Convert to fraction form
    13,786.49/19,028.74 = 7,821.65/x
  3. Step 3: Cross multiply
    13,786.49x = 19,028.74 × 7,821.65
  4. Step 4: Simplify right side
    13,786.49x = 148,836,186.90
  5. Step 5: Solve for x
    x = 148,836,186.90/13,786.49
  6. Step 6: Final answer
    x = 10,795.80

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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.