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Finding the Fourth Proportional to 21,402.46, 29,534.94 and 11,843.20

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Solution

The fourth proportional to 21,402.46, 29,534.94 and 11,843.20 is: 16,343.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,402.46 : 29,534.94 = 11,843.20 : x
  2. Step 2: Convert to fraction form
    21,402.46/29,534.94 = 11,843.20/x
  3. Step 3: Cross multiply
    21,402.46x = 29,534.94 × 11,843.20
  4. Step 4: Simplify right side
    21,402.46x = 349,788,201.41
  5. Step 5: Solve for x
    x = 349,788,201.41/21,402.46
  6. Step 6: Final answer
    x = 16,343.36

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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.