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Finding the Fourth Proportional to 19,471.32, 29,198.34 and 12,075.48

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Solution

The fourth proportional to 19,471.32, 29,198.34 and 12,075.48 is: 18,107.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,471.32 : 29,198.34 = 12,075.48 : x
  2. Step 2: Convert to fraction form
    19,471.32/29,198.34 = 12,075.48/x
  3. Step 3: Cross multiply
    19,471.32x = 29,198.34 × 12,075.48
  4. Step 4: Simplify right side
    19,471.32x = 352,583,970.70
  5. Step 5: Solve for x
    x = 352,583,970.70/19,471.32
  6. Step 6: Final answer
    x = 18,107.86

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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.