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Finding the Fourth Proportional to 11,466.45, 17,216.09 and 8,514

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Solution

The fourth proportional to 11,466.45, 17,216.09 and 8,514 is: 12,783.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,466.45 : 17,216.09 = 8,514 : x
  2. Step 2: Convert to fraction form
    11,466.45/17,216.09 = 8,514/x
  3. Step 3: Cross multiply
    11,466.45x = 17,216.09 × 8,514
  4. Step 4: Simplify right side
    11,466.45x = 146,577,747.69
  5. Step 5: Solve for x
    x = 146,577,747.69/11,466.45
  6. Step 6: Final answer
    x = 12,783.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.