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Finding the Fourth Proportional to 13,937.56, 19,231.08 and 7,971.16

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Solution

The fourth proportional to 13,937.56, 19,231.08 and 7,971.16 is: 10,998.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,937.56 : 19,231.08 = 7,971.16 : x
  2. Step 2: Convert to fraction form
    13,937.56/19,231.08 = 7,971.16/x
  3. Step 3: Cross multiply
    13,937.56x = 19,231.08 × 7,971.16
  4. Step 4: Simplify right side
    13,937.56x = 153,294,015.65
  5. Step 5: Solve for x
    x = 153,294,015.65/13,937.56
  6. Step 6: Final answer
    x = 10,998.63

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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.