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Finding the Fourth Proportional to 22,412, 30,928.56 and 12,983.60

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Solution

The fourth proportional to 22,412, 30,928.56 and 12,983.60 is: 17,917.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,412 : 30,928.56 = 12,983.60 : x
  2. Step 2: Convert to fraction form
    22,412/30,928.56 = 12,983.60/x
  3. Step 3: Cross multiply
    22,412x = 30,928.56 × 12,983.60
  4. Step 4: Simplify right side
    22,412x = 401,564,051.62
  5. Step 5: Solve for x
    x = 401,564,051.62/22,412
  6. Step 6: Final answer
    x = 17,917.37

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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.