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Finding the Fourth Proportional to 16,590.84, 24,871.95 and 7,819.62

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Solution

The fourth proportional to 16,590.84, 24,871.95 and 7,819.62 is: 11,722.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,590.84 : 24,871.95 = 7,819.62 : x
  2. Step 2: Convert to fraction form
    16,590.84/24,871.95 = 7,819.62/x
  3. Step 3: Cross multiply
    16,590.84x = 24,871.95 × 7,819.62
  4. Step 4: Simplify right side
    16,590.84x = 194,489,197.66
  5. Step 5: Solve for x
    x = 194,489,197.66/16,590.84
  6. Step 6: Final answer
    x = 11,722.69

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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.