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Finding the Fourth Proportional to 12,415.31, 17,131.73 and 7,111.16

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Solution

The fourth proportional to 12,415.31, 17,131.73 and 7,111.16 is: 9,812.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,415.31 : 17,131.73 = 7,111.16 : x
  2. Step 2: Convert to fraction form
    12,415.31/17,131.73 = 7,111.16/x
  3. Step 3: Cross multiply
    12,415.31x = 17,131.73 × 7,111.16
  4. Step 4: Simplify right side
    12,415.31x = 121,826,351.89
  5. Step 5: Solve for x
    x = 121,826,351.89/12,415.31
  6. Step 6: Final answer
    x = 9,812.59

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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.