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Finding the Fourth Proportional to 14,456.40, 21,674.09 and 9,764.78

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Solution

The fourth proportional to 14,456.40, 21,674.09 and 9,764.78 is: 14,640.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,456.40 : 21,674.09 = 9,764.78 : x
  2. Step 2: Convert to fraction form
    14,456.40/21,674.09 = 9,764.78/x
  3. Step 3: Cross multiply
    14,456.40x = 21,674.09 × 9,764.78
  4. Step 4: Simplify right side
    14,456.40x = 211,642,720.55
  5. Step 5: Solve for x
    x = 211,642,720.55/14,456.40
  6. Step 6: Final answer
    x = 14,640.07

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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.