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Finding the Fourth Proportional to 16,982.40, 25,430.40 and 16,204.80

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Solution

The fourth proportional to 16,982.40, 25,430.40 and 16,204.80 is: 24,265.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,982.40 : 25,430.40 = 16,204.80 : x
  2. Step 2: Convert to fraction form
    16,982.40/25,430.40 = 16,204.80/x
  3. Step 3: Cross multiply
    16,982.40x = 25,430.40 × 16,204.80
  4. Step 4: Simplify right side
    16,982.40x = 412,094,545.92
  5. Step 5: Solve for x
    x = 412,094,545.92/16,982.40
  6. Step 6: Final answer
    x = 24,265.98

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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.