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Finding the Fourth Proportional to 19,766.30, 27,283.84 and 13,057.88

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Solution

The fourth proportional to 19,766.30, 27,283.84 and 13,057.88 is: 18,024.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,766.30 : 27,283.84 = 13,057.88 : x
  2. Step 2: Convert to fraction form
    19,766.30/27,283.84 = 13,057.88/x
  3. Step 3: Cross multiply
    19,766.30x = 27,283.84 × 13,057.88
  4. Step 4: Simplify right side
    19,766.30x = 356,268,939.60
  5. Step 5: Solve for x
    x = 356,268,939.60/19,766.30
  6. Step 6: Final answer
    x = 18,024.06

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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.