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Finding the Fourth Proportional to 19,782.82, 27,263.46 and 16,225.30

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Solution

The fourth proportional to 19,782.82, 27,263.46 and 16,225.30 is: 22,360.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,782.82 : 27,263.46 = 16,225.30 : x
  2. Step 2: Convert to fraction form
    19,782.82/27,263.46 = 16,225.30/x
  3. Step 3: Cross multiply
    19,782.82x = 27,263.46 × 16,225.30
  4. Step 4: Simplify right side
    19,782.82x = 442,357,817.54
  5. Step 5: Solve for x
    x = 442,357,817.54/19,782.82
  6. Step 6: Final answer
    x = 22,360.71

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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.