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Finding the Fourth Proportional to 14,425.20, 21,633.75 and 7,029.90

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Solution

The fourth proportional to 14,425.20, 21,633.75 and 7,029.90 is: 10,542.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,425.20 : 21,633.75 = 7,029.90 : x
  2. Step 2: Convert to fraction form
    14,425.20/21,633.75 = 7,029.90/x
  3. Step 3: Cross multiply
    14,425.20x = 21,633.75 × 7,029.90
  4. Step 4: Simplify right side
    14,425.20x = 152,083,099.13
  5. Step 5: Solve for x
    x = 152,083,099.13/14,425.20
  6. Step 6: Final answer
    x = 10,542.88

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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.