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Finding the Fourth Proportional to 14,209.75, 21,315.03 and 3,821.50

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Solution

The fourth proportional to 14,209.75, 21,315.03 and 3,821.50 is: 5,732.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,209.75 : 21,315.03 = 3,821.50 : x
  2. Step 2: Convert to fraction form
    14,209.75/21,315.03 = 3,821.50/x
  3. Step 3: Cross multiply
    14,209.75x = 21,315.03 × 3,821.50
  4. Step 4: Simplify right side
    14,209.75x = 81,455,387.15
  5. Step 5: Solve for x
    x = 81,455,387.15/14,209.75
  6. Step 6: Final answer
    x = 5,732.36

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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.