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Finding the Fourth Proportional to 13,828.51, 19,078.09 and 7,857.19

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Solution

The fourth proportional to 13,828.51, 19,078.09 and 7,857.19 is: 10,839.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,828.51 : 19,078.09 = 7,857.19 : x
  2. Step 2: Convert to fraction form
    13,828.51/19,078.09 = 7,857.19/x
  3. Step 3: Cross multiply
    13,828.51x = 19,078.09 × 7,857.19
  4. Step 4: Simplify right side
    13,828.51x = 149,900,177.97
  5. Step 5: Solve for x
    x = 149,900,177.97/13,828.51
  6. Step 6: Final answer
    x = 10,839.94

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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.