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Finding the Fourth Proportional to 16,384.92, 24,573.68 and 6,521.52

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Solution

The fourth proportional to 16,384.92, 24,573.68 and 6,521.52 is: 9,780.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.92 : 24,573.68 = 6,521.52 : x
  2. Step 2: Convert to fraction form
    16,384.92/24,573.68 = 6,521.52/x
  3. Step 3: Cross multiply
    16,384.92x = 24,573.68 × 6,521.52
  4. Step 4: Simplify right side
    16,384.92x = 160,257,745.59
  5. Step 5: Solve for x
    x = 160,257,745.59/16,384.92
  6. Step 6: Final answer
    x = 9,780.81

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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.