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Finding the Fourth Proportional to 14,682.94, 20,262.45 and 8,309.42

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Solution

The fourth proportional to 14,682.94, 20,262.45 and 8,309.42 is: 11,467.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,682.94 : 20,262.45 = 8,309.42 : x
  2. Step 2: Convert to fraction form
    14,682.94/20,262.45 = 8,309.42/x
  3. Step 3: Cross multiply
    14,682.94x = 20,262.45 × 8,309.42
  4. Step 4: Simplify right side
    14,682.94x = 168,369,213.11
  5. Step 5: Solve for x
    x = 168,369,213.11/14,682.94
  6. Step 6: Final answer
    x = 11,467.00

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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.