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Finding the Fourth Proportional to 16,294.14, 24,432.99 and 7,961.67

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Solution

The fourth proportional to 16,294.14, 24,432.99 and 7,961.67 is: 11,938.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,294.14 : 24,432.99 = 7,961.67 : x
  2. Step 2: Convert to fraction form
    16,294.14/24,432.99 = 7,961.67/x
  3. Step 3: Cross multiply
    16,294.14x = 24,432.99 × 7,961.67
  4. Step 4: Simplify right side
    16,294.14x = 194,527,403.49
  5. Step 5: Solve for x
    x = 194,527,403.49/16,294.14
  6. Step 6: Final answer
    x = 11,938.49

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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.