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Finding the Fourth Proportional to 13,008.15, 17,946.83 and 7,342.23

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Solution

The fourth proportional to 13,008.15, 17,946.83 and 7,342.23 is: 10,129.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,008.15 : 17,946.83 = 7,342.23 : x
  2. Step 2: Convert to fraction form
    13,008.15/17,946.83 = 7,342.23/x
  3. Step 3: Cross multiply
    13,008.15x = 17,946.83 × 7,342.23
  4. Step 4: Simplify right side
    13,008.15x = 131,769,716.92
  5. Step 5: Solve for x
    x = 131,769,716.92/13,008.15
  6. Step 6: Final answer
    x = 10,129.78

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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.