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Finding the Fourth Proportional to 13,235.88, 19,857.15 and 5,842.38

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Solution

The fourth proportional to 13,235.88, 19,857.15 and 5,842.38 is: 8,765.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,235.88 : 19,857.15 = 5,842.38 : x
  2. Step 2: Convert to fraction form
    13,235.88/19,857.15 = 5,842.38/x
  3. Step 3: Cross multiply
    13,235.88x = 19,857.15 × 5,842.38
  4. Step 4: Simplify right side
    13,235.88x = 116,013,016.02
  5. Step 5: Solve for x
    x = 116,013,016.02/13,235.88
  6. Step 6: Final answer
    x = 8,765.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.