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Finding the Fourth Proportional to 16,476.50, 24,714.87 and 4,164.50

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Solution

The fourth proportional to 16,476.50, 24,714.87 and 4,164.50 is: 6,246.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,476.50 : 24,714.87 = 4,164.50 : x
  2. Step 2: Convert to fraction form
    16,476.50/24,714.87 = 4,164.50/x
  3. Step 3: Cross multiply
    16,476.50x = 24,714.87 × 4,164.50
  4. Step 4: Simplify right side
    16,476.50x = 102,925,076.12
  5. Step 5: Solve for x
    x = 102,925,076.12/16,476.50
  6. Step 6: Final answer
    x = 6,246.78

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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.