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Finding the Fourth Proportional to 12,412.96, 17,129.41 and 7,108.27

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Solution

The fourth proportional to 12,412.96, 17,129.41 and 7,108.27 is: 9,809.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.96 : 17,129.41 = 7,108.27 : x
  2. Step 2: Convert to fraction form
    12,412.96/17,129.41 = 7,108.27/x
  3. Step 3: Cross multiply
    12,412.96x = 17,129.41 × 7,108.27
  4. Step 4: Simplify right side
    12,412.96x = 121,760,471.22
  5. Step 5: Solve for x
    x = 121,760,471.22/12,412.96
  6. Step 6: Final answer
    x = 9,809.14

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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.