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Finding the Fourth Proportional to 14,823.09, 20,456.01 and 8,108.91

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Solution

The fourth proportional to 14,823.09, 20,456.01 and 8,108.91 is: 11,190.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,823.09 : 20,456.01 = 8,108.91 : x
  2. Step 2: Convert to fraction form
    14,823.09/20,456.01 = 8,108.91/x
  3. Step 3: Cross multiply
    14,823.09x = 20,456.01 × 8,108.91
  4. Step 4: Simplify right side
    14,823.09x = 165,875,944.05
  5. Step 5: Solve for x
    x = 165,875,944.05/14,823.09
  6. Step 6: Final answer
    x = 11,190.38

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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.