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Finding the Fourth Proportional to 16,400.68, 24,601.20 and 4,714

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Solution

The fourth proportional to 16,400.68, 24,601.20 and 4,714 is: 7,071.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.68 : 24,601.20 = 4,714 : x
  2. Step 2: Convert to fraction form
    16,400.68/24,601.20 = 4,714/x
  3. Step 3: Cross multiply
    16,400.68x = 24,601.20 × 4,714
  4. Step 4: Simplify right side
    16,400.68x = 115,970,056.80
  5. Step 5: Solve for x
    x = 115,970,056.80/16,400.68
  6. Step 6: Final answer
    x = 7,071.05

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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.