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Finding the Fourth Proportional to 21,789.50, 30,069.52 and 11,853.50

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Solution

The fourth proportional to 21,789.50, 30,069.52 and 11,853.50 is: 16,357.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,789.50 : 30,069.52 = 11,853.50 : x
  2. Step 2: Convert to fraction form
    21,789.50/30,069.52 = 11,853.50/x
  3. Step 3: Cross multiply
    21,789.50x = 30,069.52 × 11,853.50
  4. Step 4: Simplify right side
    21,789.50x = 356,429,055.32
  5. Step 5: Solve for x
    x = 356,429,055.32/21,789.50
  6. Step 6: Final answer
    x = 16,357.84

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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.