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Finding the Fourth Proportional to 21,274.34, 29,358.82 and 11,842.90

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Solution

The fourth proportional to 21,274.34, 29,358.82 and 11,842.90 is: 16,343.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,274.34 : 29,358.82 = 11,842.90 : x
  2. Step 2: Convert to fraction form
    21,274.34/29,358.82 = 11,842.90/x
  3. Step 3: Cross multiply
    21,274.34x = 29,358.82 × 11,842.90
  4. Step 4: Simplify right side
    21,274.34x = 347,693,422.58
  5. Step 5: Solve for x
    x = 347,693,422.58/21,274.34
  6. Step 6: Final answer
    x = 16,343.33

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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.