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Finding the Fourth Proportional to 16,500.69, 24,747.24 and 9,839.07

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Solution

The fourth proportional to 16,500.69, 24,747.24 and 9,839.07 is: 14,756.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,500.69 : 24,747.24 = 9,839.07 : x
  2. Step 2: Convert to fraction form
    16,500.69/24,747.24 = 9,839.07/x
  3. Step 3: Cross multiply
    16,500.69x = 24,747.24 × 9,839.07
  4. Step 4: Simplify right side
    16,500.69x = 243,489,826.67
  5. Step 5: Solve for x
    x = 243,489,826.67/16,500.69
  6. Step 6: Final answer
    x = 14,756.34

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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.