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Finding the Fourth Proportional to 11,331.50, 17,012.10 and 9,946.40

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Solution

The fourth proportional to 11,331.50, 17,012.10 and 9,946.40 is: 14,932.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,331.50 : 17,012.10 = 9,946.40 : x
  2. Step 2: Convert to fraction form
    11,331.50/17,012.10 = 9,946.40/x
  3. Step 3: Cross multiply
    11,331.50x = 17,012.10 × 9,946.40
  4. Step 4: Simplify right side
    11,331.50x = 169,209,151.44
  5. Step 5: Solve for x
    x = 169,209,151.44/11,331.50
  6. Step 6: Final answer
    x = 14,932.63

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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.