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Finding the Fourth Proportional to 20,675.20, 31,012.80 and 14,843.20

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Solution

The fourth proportional to 20,675.20, 31,012.80 and 14,843.20 is: 22,264.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,675.20 : 31,012.80 = 14,843.20 : x
  2. Step 2: Convert to fraction form
    20,675.20/31,012.80 = 14,843.20/x
  3. Step 3: Cross multiply
    20,675.20x = 31,012.80 × 14,843.20
  4. Step 4: Simplify right side
    20,675.20x = 460,329,192.96
  5. Step 5: Solve for x
    x = 460,329,192.96/20,675.20
  6. Step 6: Final answer
    x = 22,264.80

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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.