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Finding the Fourth Proportional to 12,257.69, 16,892.62 and 8,714.75

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Solution

The fourth proportional to 12,257.69, 16,892.62 and 8,714.75 is: 12,010.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,257.69 : 16,892.62 = 8,714.75 : x
  2. Step 2: Convert to fraction form
    12,257.69/16,892.62 = 8,714.75/x
  3. Step 3: Cross multiply
    12,257.69x = 16,892.62 × 8,714.75
  4. Step 4: Simplify right side
    12,257.69x = 147,214,853.90
  5. Step 5: Solve for x
    x = 147,214,853.90/12,257.69
  6. Step 6: Final answer
    x = 12,010.00

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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.