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Finding the Fourth Proportional to 12,524.52, 18,794.41 and 6,521.20

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Solution

The fourth proportional to 12,524.52, 18,794.41 and 6,521.20 is: 9,785.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,524.52 : 18,794.41 = 6,521.20 : x
  2. Step 2: Convert to fraction form
    12,524.52/18,794.41 = 6,521.20/x
  3. Step 3: Cross multiply
    12,524.52x = 18,794.41 × 6,521.20
  4. Step 4: Simplify right side
    12,524.52x = 122,562,106.49
  5. Step 5: Solve for x
    x = 122,562,106.49/12,524.52
  6. Step 6: Final answer
    x = 9,785.77

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