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Finding the Fourth Proportional to 16,333.14, 24,468.89 and 9,649.70

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Solution

The fourth proportional to 16,333.14, 24,468.89 and 9,649.70 is: 14,456.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,333.14 : 24,468.89 = 9,649.70 : x
  2. Step 2: Convert to fraction form
    16,333.14/24,468.89 = 9,649.70/x
  3. Step 3: Cross multiply
    16,333.14x = 24,468.89 × 9,649.70
  4. Step 4: Simplify right side
    16,333.14x = 236,117,369.00
  5. Step 5: Solve for x
    x = 236,117,369.00/16,333.14
  6. Step 6: Final answer
    x = 14,456.33

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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.