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Finding the Fourth Proportional to 12,606.23, 17,405.89 and 8,132.60

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Solution

The fourth proportional to 12,606.23, 17,405.89 and 8,132.60 is: 11,228.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,606.23 : 17,405.89 = 8,132.60 : x
  2. Step 2: Convert to fraction form
    12,606.23/17,405.89 = 8,132.60/x
  3. Step 3: Cross multiply
    12,606.23x = 17,405.89 × 8,132.60
  4. Step 4: Simplify right side
    12,606.23x = 141,555,164.20
  5. Step 5: Solve for x
    x = 141,555,164.20/12,606.23
  6. Step 6: Final answer
    x = 11,228.98

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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.