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Finding the Fourth Proportional to 16,495.84, 24,743.76 and 4,808.80

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Solution

The fourth proportional to 16,495.84, 24,743.76 and 4,808.80 is: 7,213.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,495.84 : 24,743.76 = 4,808.80 : x
  2. Step 2: Convert to fraction form
    16,495.84/24,743.76 = 4,808.80/x
  3. Step 3: Cross multiply
    16,495.84x = 24,743.76 × 4,808.80
  4. Step 4: Simplify right side
    16,495.84x = 118,987,793.09
  5. Step 5: Solve for x
    x = 118,987,793.09/16,495.84
  6. Step 6: Final answer
    x = 7,213.20

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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.