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Finding the Fourth Proportional to 22,412.19, 30,932.97 and 12,980.75

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Solution

The fourth proportional to 22,412.19, 30,932.97 and 12,980.75 is: 17,915.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,412.19 : 30,932.97 = 12,980.75 : x
  2. Step 2: Convert to fraction form
    22,412.19/30,932.97 = 12,980.75/x
  3. Step 3: Cross multiply
    22,412.19x = 30,932.97 × 12,980.75
  4. Step 4: Simplify right side
    22,412.19x = 401,533,150.33
  5. Step 5: Solve for x
    x = 401,533,150.33/22,412.19
  6. Step 6: Final answer
    x = 17,915.84

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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.