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Finding the Fourth Proportional to 11,674.16, 17,472.90 and 8,885.78

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Solution

The fourth proportional to 11,674.16, 17,472.90 and 8,885.78 is: 13,299.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674.16 : 17,472.90 = 8,885.78 : x
  2. Step 2: Convert to fraction form
    11,674.16/17,472.90 = 8,885.78/x
  3. Step 3: Cross multiply
    11,674.16x = 17,472.90 × 8,885.78
  4. Step 4: Simplify right side
    11,674.16x = 155,260,345.36
  5. Step 5: Solve for x
    x = 155,260,345.36/11,674.16
  6. Step 6: Final answer
    x = 13,299.49

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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.