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Finding the Fourth Proportional to 11,227.40, 16,841.10 and 9,499.40

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Solution

The fourth proportional to 11,227.40, 16,841.10 and 9,499.40 is: 14,249.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,227.40 : 16,841.10 = 9,499.40 : x
  2. Step 2: Convert to fraction form
    11,227.40/16,841.10 = 9,499.40/x
  3. Step 3: Cross multiply
    11,227.40x = 16,841.10 × 9,499.40
  4. Step 4: Simplify right side
    11,227.40x = 159,980,345.34
  5. Step 5: Solve for x
    x = 159,980,345.34/11,227.40
  6. Step 6: Final answer
    x = 14,249.10

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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.