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Finding the Fourth Proportional to 14,184.85, 21,268.14 and 6,789.13

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Solution

The fourth proportional to 14,184.85, 21,268.14 and 6,789.13 is: 10,179.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,184.85 : 21,268.14 = 6,789.13 : x
  2. Step 2: Convert to fraction form
    14,184.85/21,268.14 = 6,789.13/x
  3. Step 3: Cross multiply
    14,184.85x = 21,268.14 × 6,789.13
  4. Step 4: Simplify right side
    14,184.85x = 144,392,167.32
  5. Step 5: Solve for x
    x = 144,392,167.32/14,184.85
  6. Step 6: Final answer
    x = 10,179.32

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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.