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Finding the Fourth Proportional to 13,121.93, 19,665.27 and 7,189.89

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Solution

The fourth proportional to 13,121.93, 19,665.27 and 7,189.89 is: 10,775.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,121.93 : 19,665.27 = 7,189.89 : x
  2. Step 2: Convert to fraction form
    13,121.93/19,665.27 = 7,189.89/x
  3. Step 3: Cross multiply
    13,121.93x = 19,665.27 × 7,189.89
  4. Step 4: Simplify right side
    13,121.93x = 141,391,128.12
  5. Step 5: Solve for x
    x = 141,391,128.12/13,121.93
  6. Step 6: Final answer
    x = 10,775.18

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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.