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Finding the Fourth Proportional to 22,405.14, 30,917.30 and 12,974.31

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Solution

The fourth proportional to 22,405.14, 30,917.30 and 12,974.31 is: 17,903.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,405.14 : 30,917.30 = 12,974.31 : x
  2. Step 2: Convert to fraction form
    22,405.14/30,917.30 = 12,974.31/x
  3. Step 3: Cross multiply
    22,405.14x = 30,917.30 × 12,974.31
  4. Step 4: Simplify right side
    22,405.14x = 401,130,569.69
  5. Step 5: Solve for x
    x = 401,130,569.69/22,405.14
  6. Step 6: Final answer
    x = 17,903.51

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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.