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Finding the Fourth Proportional to 11,676.74, 17,523.98 and 9,364.66

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Solution

The fourth proportional to 11,676.74, 17,523.98 and 9,364.66 is: 14,054.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,676.74 : 17,523.98 = 9,364.66 : x
  2. Step 2: Convert to fraction form
    11,676.74/17,523.98 = 9,364.66/x
  3. Step 3: Cross multiply
    11,676.74x = 17,523.98 × 9,364.66
  4. Step 4: Simplify right side
    11,676.74x = 164,106,114.55
  5. Step 5: Solve for x
    x = 164,106,114.55/11,676.74
  6. Step 6: Final answer
    x = 14,054.10

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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.