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Finding the Fourth Proportional to 14,542.54, 21,813.81 and 4,012.65

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Solution

The fourth proportional to 14,542.54, 21,813.81 and 4,012.65 is: 6,018.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,542.54 : 21,813.81 = 4,012.65 : x
  2. Step 2: Convert to fraction form
    14,542.54/21,813.81 = 4,012.65/x
  3. Step 3: Cross multiply
    14,542.54x = 21,813.81 × 4,012.65
  4. Step 4: Simplify right side
    14,542.54x = 87,531,075.63
  5. Step 5: Solve for x
    x = 87,531,075.63/14,542.54
  6. Step 6: Final answer
    x = 6,018.97

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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.