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Finding the Fourth Proportional to 12,412.56, 17,129.36 and 6,823.60

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Solution

The fourth proportional to 12,412.56, 17,129.36 and 6,823.60 is: 9,416.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,412.56 : 17,129.36 = 6,823.60 : x
  2. Step 2: Convert to fraction form
    12,412.56/17,129.36 = 6,823.60/x
  3. Step 3: Cross multiply
    12,412.56x = 17,129.36 × 6,823.60
  4. Step 4: Simplify right side
    12,412.56x = 116,883,900.90
  5. Step 5: Solve for x
    x = 116,883,900.90/12,412.56
  6. Step 6: Final answer
    x = 9,416.58

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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.