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Finding the Fourth Proportional to 25,642.80, 38,464.20 and 14,545.20

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Solution

The fourth proportional to 25,642.80, 38,464.20 and 14,545.20 is: 21,817.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,642.80 : 38,464.20 = 14,545.20 : x
  2. Step 2: Convert to fraction form
    25,642.80/38,464.20 = 14,545.20/x
  3. Step 3: Cross multiply
    25,642.80x = 38,464.20 × 14,545.20
  4. Step 4: Simplify right side
    25,642.80x = 559,469,481.84
  5. Step 5: Solve for x
    x = 559,469,481.84/25,642.80
  6. Step 6: Final answer
    x = 21,817.80

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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.