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Finding the Fourth Proportional to 28,017, 42,011.82 and 13,213.44

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Solution

The fourth proportional to 28,017, 42,011.82 and 13,213.44 is: 19,813.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,017 : 42,011.82 = 13,213.44 : x
  2. Step 2: Convert to fraction form
    28,017/42,011.82 = 13,213.44/x
  3. Step 3: Cross multiply
    28,017x = 42,011.82 × 13,213.44
  4. Step 4: Simplify right side
    28,017x = 555,120,662.86
  5. Step 5: Solve for x
    x = 555,120,662.86/28,017
  6. Step 6: Final answer
    x = 19,813.71

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.