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Finding the Fourth Proportional to 21,842.28, 30,143.07 and 12,283.83

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Solution

The fourth proportional to 21,842.28, 30,143.07 and 12,283.83 is: 16,952.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,842.28 : 30,143.07 = 12,283.83 : x
  2. Step 2: Convert to fraction form
    21,842.28/30,143.07 = 12,283.83/x
  3. Step 3: Cross multiply
    21,842.28x = 30,143.07 × 12,283.83
  4. Step 4: Simplify right side
    21,842.28x = 370,272,347.56
  5. Step 5: Solve for x
    x = 370,272,347.56/21,842.28
  6. Step 6: Final answer
    x = 16,952.09

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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.