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Finding the Fourth Proportional to 13,833.85, 19,091.97 and 7,865.51

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Solution

The fourth proportional to 13,833.85, 19,091.97 and 7,865.51 is: 10,855.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.85 : 19,091.97 = 7,865.51 : x
  2. Step 2: Convert to fraction form
    13,833.85/19,091.97 = 7,865.51/x
  3. Step 3: Cross multiply
    13,833.85x = 19,091.97 × 7,865.51
  4. Step 4: Simplify right side
    13,833.85x = 150,167,985.49
  5. Step 5: Solve for x
    x = 150,167,985.49/13,833.85
  6. Step 6: Final answer
    x = 10,855.11

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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.