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Finding the Fourth Proportional to 16,467.48, 24,700.68 and 4,780.44

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Solution

The fourth proportional to 16,467.48, 24,700.68 and 4,780.44 is: 7,170.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,467.48 : 24,700.68 = 4,780.44 : x
  2. Step 2: Convert to fraction form
    16,467.48/24,700.68 = 4,780.44/x
  3. Step 3: Cross multiply
    16,467.48x = 24,700.68 × 4,780.44
  4. Step 4: Simplify right side
    16,467.48x = 118,080,118.70
  5. Step 5: Solve for x
    x = 118,080,118.70/16,467.48
  6. Step 6: Final answer
    x = 7,170.50

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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.