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Finding the Fourth Proportional to 20,043.65, 30,075.85 and 14,542.40

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Solution

The fourth proportional to 20,043.65, 30,075.85 and 14,542.40 is: 21,821.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,043.65 : 30,075.85 = 14,542.40 : x
  2. Step 2: Convert to fraction form
    20,043.65/30,075.85 = 14,542.40/x
  3. Step 3: Cross multiply
    20,043.65x = 30,075.85 × 14,542.40
  4. Step 4: Simplify right side
    20,043.65x = 437,375,134.41
  5. Step 5: Solve for x
    x = 437,375,134.41/20,043.65
  6. Step 6: Final answer
    x = 21,821.13

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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.