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Finding the Fourth Proportional to 16,316.67, 24,462.62 and 8,410.67

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Solution

The fourth proportional to 16,316.67, 24,462.62 and 8,410.67 is: 12,609.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,316.67 : 24,462.62 = 8,410.67 : x
  2. Step 2: Convert to fraction form
    16,316.67/24,462.62 = 8,410.67/x
  3. Step 3: Cross multiply
    16,316.67x = 24,462.62 × 8,410.67
  4. Step 4: Simplify right side
    16,316.67x = 205,747,024.16
  5. Step 5: Solve for x
    x = 205,747,024.16/16,316.67
  6. Step 6: Final answer
    x = 12,609.62

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1.5x scale

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.