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Finding the Fourth Proportional to 21,200.31, 29,256.54 and 11,770.71

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Solution

The fourth proportional to 21,200.31, 29,256.54 and 11,770.71 is: 16,243.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,200.31 : 29,256.54 = 11,770.71 : x
  2. Step 2: Convert to fraction form
    21,200.31/29,256.54 = 11,770.71/x
  3. Step 3: Cross multiply
    21,200.31x = 29,256.54 × 11,770.71
  4. Step 4: Simplify right side
    21,200.31x = 344,370,247.94
  5. Step 5: Solve for x
    x = 344,370,247.94/21,200.31
  6. Step 6: Final answer
    x = 16,243.64

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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.