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Finding the Fourth Proportional to 16,618.24, 24,929.92 and 4,929.92

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Solution

The fourth proportional to 16,618.24, 24,929.92 and 4,929.92 is: 7,395.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,618.24 : 24,929.92 = 4,929.92 : x
  2. Step 2: Convert to fraction form
    16,618.24/24,929.92 = 4,929.92/x
  3. Step 3: Cross multiply
    16,618.24x = 24,929.92 × 4,929.92
  4. Step 4: Simplify right side
    16,618.24x = 122,902,511.21
  5. Step 5: Solve for x
    x = 122,902,511.21/16,618.24
  6. Step 6: Final answer
    x = 7,395.64

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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.