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Finding the Fourth Proportional to 24,375.76, 33,638.56 and 13,197.76

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Solution

The fourth proportional to 24,375.76, 33,638.56 and 13,197.76 is: 18,212.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,375.76 : 33,638.56 = 13,197.76 : x
  2. Step 2: Convert to fraction form
    24,375.76/33,638.56 = 13,197.76/x
  3. Step 3: Cross multiply
    24,375.76x = 33,638.56 × 13,197.76
  4. Step 4: Simplify right side
    24,375.76x = 443,953,641.63
  5. Step 5: Solve for x
    x = 443,953,641.63/24,375.76
  6. Step 6: Final answer
    x = 18,212.91

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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.