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Finding the Fourth Proportional to 24,478.31, 33,780.27 and 13,300.31

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Solution

The fourth proportional to 24,478.31, 33,780.27 and 13,300.31 is: 18,354.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,478.31 : 33,780.27 = 13,300.31 : x
  2. Step 2: Convert to fraction form
    24,478.31/33,780.27 = 13,300.31/x
  3. Step 3: Cross multiply
    24,478.31x = 33,780.27 × 13,300.31
  4. Step 4: Simplify right side
    24,478.31x = 449,288,197.21
  5. Step 5: Solve for x
    x = 449,288,197.21/24,478.31
  6. Step 6: Final answer
    x = 18,354.54

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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.