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Finding the Fourth Proportional to 24,274.76, 33,498.82 and 13,519.56

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Solution

The fourth proportional to 24,274.76, 33,498.82 and 13,519.56 is: 18,656.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,274.76 : 33,498.82 = 13,519.56 : x
  2. Step 2: Convert to fraction form
    24,274.76/33,498.82 = 13,519.56/x
  3. Step 3: Cross multiply
    24,274.76x = 33,498.82 × 13,519.56
  4. Step 4: Simplify right side
    24,274.76x = 452,889,306.92
  5. Step 5: Solve for x
    x = 452,889,306.92/24,274.76
  6. Step 6: Final answer
    x = 18,656.80

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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.