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Finding the Fourth Proportional to 22,171.14, 30,596.16 and 12,739.68

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Solution

The fourth proportional to 22,171.14, 30,596.16 and 12,739.68 is: 17,580.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,171.14 : 30,596.16 = 12,739.68 : x
  2. Step 2: Convert to fraction form
    22,171.14/30,596.16 = 12,739.68/x
  3. Step 3: Cross multiply
    22,171.14x = 30,596.16 × 12,739.68
  4. Step 4: Simplify right side
    22,171.14x = 389,785,287.63
  5. Step 5: Solve for x
    x = 389,785,287.63/22,171.14
  6. Step 6: Final answer
    x = 17,580.75

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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.