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Finding the Fourth Proportional to 16,212, 24,304.08 and 5,680.56

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Solution

The fourth proportional to 16,212, 24,304.08 and 5,680.56 is: 8,515.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,212 : 24,304.08 = 5,680.56 : x
  2. Step 2: Convert to fraction form
    16,212/24,304.08 = 5,680.56/x
  3. Step 3: Cross multiply
    16,212x = 24,304.08 × 5,680.56
  4. Step 4: Simplify right side
    16,212x = 138,060,784.68
  5. Step 5: Solve for x
    x = 138,060,784.68/16,212
  6. Step 6: Final answer
    x = 8,515.96

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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.