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Finding the Fourth Proportional to 14,682.49, 20,278.67 and 9,669.13

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Solution

The fourth proportional to 14,682.49, 20,278.67 and 9,669.13 is: 13,354.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,682.49 : 20,278.67 = 9,669.13 : x
  2. Step 2: Convert to fraction form
    14,682.49/20,278.67 = 9,669.13/x
  3. Step 3: Cross multiply
    14,682.49x = 20,278.67 × 9,669.13
  4. Step 4: Simplify right side
    14,682.49x = 196,077,096.46
  5. Step 5: Solve for x
    x = 196,077,096.46/14,682.49
  6. Step 6: Final answer
    x = 13,354.49

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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.