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Finding the Fourth Proportional to 16,206.89, 24,310.34 and 5,114.45

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Solution

The fourth proportional to 16,206.89, 24,310.34 and 5,114.45 is: 7,671.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,206.89 : 24,310.34 = 5,114.45 : x
  2. Step 2: Convert to fraction form
    16,206.89/24,310.34 = 5,114.45/x
  3. Step 3: Cross multiply
    16,206.89x = 24,310.34 × 5,114.45
  4. Step 4: Simplify right side
    16,206.89x = 124,333,909.65
  5. Step 5: Solve for x
    x = 124,333,909.65/16,206.89
  6. Step 6: Final answer
    x = 7,671.67

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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.