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Finding the Fourth Proportional to 12,412.28, 17,127.42 and 7,376.60

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Solution

The fourth proportional to 12,412.28, 17,127.42 and 7,376.60 is: 10,178.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.28 : 17,127.42 = 7,376.60 : x
  2. Step 2: Convert to fraction form
    12,412.28/17,127.42 = 7,376.60/x
  3. Step 3: Cross multiply
    12,412.28x = 17,127.42 × 7,376.60
  4. Step 4: Simplify right side
    12,412.28x = 126,342,126.37
  5. Step 5: Solve for x
    x = 126,342,126.37/12,412.28
  6. Step 6: Final answer
    x = 10,178.80

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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.