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Finding the Fourth Proportional to 14,309.64, 19,734.44 and 9,268.61

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Solution

The fourth proportional to 14,309.64, 19,734.44 and 9,268.61 is: 12,782.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,309.64 : 19,734.44 = 9,268.61 : x
  2. Step 2: Convert to fraction form
    14,309.64/19,734.44 = 9,268.61/x
  3. Step 3: Cross multiply
    14,309.64x = 19,734.44 × 9,268.61
  4. Step 4: Simplify right side
    14,309.64x = 182,910,682.91
  5. Step 5: Solve for x
    x = 182,910,682.91/14,309.64
  6. Step 6: Final answer
    x = 12,782.34

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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.