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Finding the Fourth Proportional to 22,051.57, 30,431.38 and 11,980.09

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Solution

The fourth proportional to 22,051.57, 30,431.38 and 11,980.09 is: 16,532.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,051.57 : 30,431.38 = 11,980.09 : x
  2. Step 2: Convert to fraction form
    22,051.57/30,431.38 = 11,980.09/x
  3. Step 3: Cross multiply
    22,051.57x = 30,431.38 × 11,980.09
  4. Step 4: Simplify right side
    22,051.57x = 364,570,565.20
  5. Step 5: Solve for x
    x = 364,570,565.20/22,051.57
  6. Step 6: Final answer
    x = 16,532.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.