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Finding the Fourth Proportional to 19,682.71, 29,493.08 and 12,276.07

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Solution

The fourth proportional to 19,682.71, 29,493.08 and 12,276.07 is: 18,394.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,682.71 : 29,493.08 = 12,276.07 : x
  2. Step 2: Convert to fraction form
    19,682.71/29,493.08 = 12,276.07/x
  3. Step 3: Cross multiply
    19,682.71x = 29,493.08 × 12,276.07
  4. Step 4: Simplify right side
    19,682.71x = 362,059,114.60
  5. Step 5: Solve for x
    x = 362,059,114.60/19,682.71
  6. Step 6: Final answer
    x = 18,394.78

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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.