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Finding the Fourth Proportional to 21,842.69, 30,138.84 and 12,281.33

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Solution

The fourth proportional to 21,842.69, 30,138.84 and 12,281.33 is: 16,945.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,842.69 : 30,138.84 = 12,281.33 : x
  2. Step 2: Convert to fraction form
    21,842.69/30,138.84 = 12,281.33/x
  3. Step 3: Cross multiply
    21,842.69x = 30,138.84 × 12,281.33
  4. Step 4: Simplify right side
    21,842.69x = 370,145,115.20
  5. Step 5: Solve for x
    x = 370,145,115.20/21,842.69
  6. Step 6: Final answer
    x = 16,945.95

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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.