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Finding the Fourth Proportional to 16,540.40, 24,755.15 and 13,578.68

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Solution

The fourth proportional to 16,540.40, 24,755.15 and 13,578.68 is: 20,322.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,540.40 : 24,755.15 = 13,578.68 : x
  2. Step 2: Convert to fraction form
    16,540.40/24,755.15 = 13,578.68/x
  3. Step 3: Cross multiply
    16,540.40x = 24,755.15 × 13,578.68
  4. Step 4: Simplify right side
    16,540.40x = 336,142,260.20
  5. Step 5: Solve for x
    x = 336,142,260.20/16,540.40
  6. Step 6: Final answer
    x = 20,322.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.