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Finding the Fourth Proportional to 14,716.80, 20,312.64 and 9,687.84

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Solution

The fourth proportional to 14,716.80, 20,312.64 and 9,687.84 is: 13,371.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,716.80 : 20,312.64 = 9,687.84 : x
  2. Step 2: Convert to fraction form
    14,716.80/20,312.64 = 9,687.84/x
  3. Step 3: Cross multiply
    14,716.80x = 20,312.64 × 9,687.84
  4. Step 4: Simplify right side
    14,716.80x = 196,785,606.30
  5. Step 5: Solve for x
    x = 196,785,606.30/14,716.80
  6. Step 6: Final answer
    x = 13,371.49

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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.