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Finding the Fourth Proportional to 13,833.92, 19,090.20 and 7,866.08

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Solution

The fourth proportional to 13,833.92, 19,090.20 and 7,866.08 is: 10,854.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,833.92 : 19,090.20 = 7,866.08 : x
  2. Step 2: Convert to fraction form
    13,833.92/19,090.20 = 7,866.08/x
  3. Step 3: Cross multiply
    13,833.92x = 19,090.20 × 7,866.08
  4. Step 4: Simplify right side
    13,833.92x = 150,165,040.42
  5. Step 5: Solve for x
    x = 150,165,040.42/13,833.92
  6. Step 6: Final answer
    x = 10,854.84

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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.