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Finding the Fourth Proportional to 16,778.34, 25,128.09 and 9,857.70

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Solution

The fourth proportional to 16,778.34, 25,128.09 and 9,857.70 is: 14,763.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,778.34 : 25,128.09 = 9,857.70 : x
  2. Step 2: Convert to fraction form
    16,778.34/25,128.09 = 9,857.70/x
  3. Step 3: Cross multiply
    16,778.34x = 25,128.09 × 9,857.70
  4. Step 4: Simplify right side
    16,778.34x = 247,705,172.79
  5. Step 5: Solve for x
    x = 247,705,172.79/16,778.34
  6. Step 6: Final answer
    x = 14,763.39

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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.