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Finding the Fourth Proportional to 19,642.91, 27,116.49 and 12,573.43

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Solution

The fourth proportional to 19,642.91, 27,116.49 and 12,573.43 is: 17,357.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,642.91 : 27,116.49 = 12,573.43 : x
  2. Step 2: Convert to fraction form
    19,642.91/27,116.49 = 12,573.43/x
  3. Step 3: Cross multiply
    19,642.91x = 27,116.49 × 12,573.43
  4. Step 4: Simplify right side
    19,642.91x = 340,947,325.22
  5. Step 5: Solve for x
    x = 340,947,325.22/19,642.91
  6. Step 6: Final answer
    x = 17,357.27

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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.