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Finding the Fourth Proportional to 15,495.50, 21,383.38 and 8,780.96

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Solution

The fourth proportional to 15,495.50, 21,383.38 and 8,780.96 is: 12,117.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,495.50 : 21,383.38 = 8,780.96 : x
  2. Step 2: Convert to fraction form
    15,495.50/21,383.38 = 8,780.96/x
  3. Step 3: Cross multiply
    15,495.50x = 21,383.38 × 8,780.96
  4. Step 4: Simplify right side
    15,495.50x = 187,766,604.44
  5. Step 5: Solve for x
    x = 187,766,604.44/15,495.50
  6. Step 6: Final answer
    x = 12,117.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.