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Finding the Fourth Proportional to 11,794.64, 17,689.95 and 11,144

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Solution

The fourth proportional to 11,794.64, 17,689.95 and 11,144 is: 16,714.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.64 : 17,689.95 = 11,144 : x
  2. Step 2: Convert to fraction form
    11,794.64/17,689.95 = 11,144/x
  3. Step 3: Cross multiply
    11,794.64x = 17,689.95 × 11,144
  4. Step 4: Simplify right side
    11,794.64x = 197,136,802.80
  5. Step 5: Solve for x
    x = 197,136,802.80/11,794.64
  6. Step 6: Final answer
    x = 16,714.10

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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.