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Finding the Fourth Proportional to 16,582.92, 24,878.03 and 7,817.91

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Solution

The fourth proportional to 16,582.92, 24,878.03 and 7,817.91 is: 11,728.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,582.92 : 24,878.03 = 7,817.91 : x
  2. Step 2: Convert to fraction form
    16,582.92/24,878.03 = 7,817.91/x
  3. Step 3: Cross multiply
    16,582.92x = 24,878.03 × 7,817.91
  4. Step 4: Simplify right side
    16,582.92x = 194,494,160.43
  5. Step 5: Solve for x
    x = 194,494,160.43/16,582.92
  6. Step 6: Final answer
    x = 11,728.58

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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.