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Finding the Fourth Proportional to 16,475.61, 24,714.77 and 4,788.82

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Solution

The fourth proportional to 16,475.61, 24,714.77 and 4,788.82 is: 7,183.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,475.61 : 24,714.77 = 4,788.82 : x
  2. Step 2: Convert to fraction form
    16,475.61/24,714.77 = 4,788.82/x
  3. Step 3: Cross multiply
    16,475.61x = 24,714.77 × 4,788.82
  4. Step 4: Simplify right side
    16,475.61x = 118,354,584.87
  5. Step 5: Solve for x
    x = 118,354,584.87/16,475.61
  6. Step 6: Final answer
    x = 7,183.62

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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.