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Finding the Fourth Proportional to 22,406.78, 30,921.78 and 12,980.80

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Solution

The fourth proportional to 22,406.78, 30,921.78 and 12,980.80 is: 17,913.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,406.78 : 30,921.78 = 12,980.80 : x
  2. Step 2: Convert to fraction form
    22,406.78/30,921.78 = 12,980.80/x
  3. Step 3: Cross multiply
    22,406.78x = 30,921.78 × 12,980.80
  4. Step 4: Simplify right side
    22,406.78x = 401,389,441.82
  5. Step 5: Solve for x
    x = 401,389,441.82/22,406.78
  6. Step 6: Final answer
    x = 17,913.75

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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.