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Finding the Fourth Proportional to 13,822.40, 19,078.92 and 7,857.33

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Solution

The fourth proportional to 13,822.40, 19,078.92 and 7,857.33 is: 10,845.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.40 : 19,078.92 = 7,857.33 : x
  2. Step 2: Convert to fraction form
    13,822.40/19,078.92 = 7,857.33/x
  3. Step 3: Cross multiply
    13,822.40x = 19,078.92 × 7,857.33
  4. Step 4: Simplify right side
    13,822.40x = 149,909,370.48
  5. Step 5: Solve for x
    x = 149,909,370.48/13,822.40
  6. Step 6: Final answer
    x = 10,845.40

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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.