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Finding the Fourth Proportional to 16,145.89, 24,218.81 and 4,299.67

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Solution

The fourth proportional to 16,145.89, 24,218.81 and 4,299.67 is: 6,449.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,145.89 : 24,218.81 = 4,299.67 : x
  2. Step 2: Convert to fraction form
    16,145.89/24,218.81 = 4,299.67/x
  3. Step 3: Cross multiply
    16,145.89x = 24,218.81 × 4,299.67
  4. Step 4: Simplify right side
    16,145.89x = 104,132,890.79
  5. Step 5: Solve for x
    x = 104,132,890.79/16,145.89
  6. Step 6: Final answer
    x = 6,449.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.