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Finding the Fourth Proportional to 24,311.12, 33,518.64 and 19,830.32

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Solution

The fourth proportional to 24,311.12, 33,518.64 and 19,830.32 is: 27,340.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,311.12 : 33,518.64 = 19,830.32 : x
  2. Step 2: Convert to fraction form
    24,311.12/33,518.64 = 19,830.32/x
  3. Step 3: Cross multiply
    24,311.12x = 33,518.64 × 19,830.32
  4. Step 4: Simplify right side
    24,311.12x = 664,685,357.16
  5. Step 5: Solve for x
    x = 664,685,357.16/24,311.12
  6. Step 6: Final answer
    x = 27,340.80

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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.