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Finding the Fourth Proportional to 14,757.03, 20,363.94 and 8,469

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Solution

The fourth proportional to 14,757.03, 20,363.94 and 8,469 is: 11,686.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,757.03 : 20,363.94 = 8,469 : x
  2. Step 2: Convert to fraction form
    14,757.03/20,363.94 = 8,469/x
  3. Step 3: Cross multiply
    14,757.03x = 20,363.94 × 8,469
  4. Step 4: Simplify right side
    14,757.03x = 172,462,207.86
  5. Step 5: Solve for x
    x = 172,462,207.86/14,757.03
  6. Step 6: Final answer
    x = 11,686.78

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