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Finding the Fourth Proportional to 12,412.56, 17,129.28 and 6,823.44

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Solution

The fourth proportional to 12,412.56, 17,129.28 and 6,823.44 is: 9,416.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.56 : 17,129.28 = 6,823.44 : x
  2. Step 2: Convert to fraction form
    12,412.56/17,129.28 = 6,823.44/x
  3. Step 3: Cross multiply
    12,412.56x = 17,129.28 × 6,823.44
  4. Step 4: Simplify right side
    12,412.56x = 116,880,614.32
  5. Step 5: Solve for x
    x = 116,880,614.32/12,412.56
  6. Step 6: Final answer
    x = 9,416.32

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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.