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Finding the Fourth Proportional to 16,525.74, 24,781.81 and 8,202.70

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Solution

The fourth proportional to 16,525.74, 24,781.81 and 8,202.70 is: 12,300.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,525.74 : 24,781.81 = 8,202.70 : x
  2. Step 2: Convert to fraction form
    16,525.74/24,781.81 = 8,202.70/x
  3. Step 3: Cross multiply
    16,525.74x = 24,781.81 × 8,202.70
  4. Step 4: Simplify right side
    16,525.74x = 203,277,752.89
  5. Step 5: Solve for x
    x = 203,277,752.89/16,525.74
  6. Step 6: Final answer
    x = 12,300.67

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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.