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Finding the Fourth Proportional to 11,662.34, 16,104.08 and 10,000.22

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Solution

The fourth proportional to 11,662.34, 16,104.08 and 10,000.22 is: 13,808.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.34 : 16,104.08 = 10,000.22 : x
  2. Step 2: Convert to fraction form
    11,662.34/16,104.08 = 10,000.22/x
  3. Step 3: Cross multiply
    11,662.34x = 16,104.08 × 10,000.22
  4. Step 4: Simplify right side
    11,662.34x = 161,044,287.38
  5. Step 5: Solve for x
    x = 161,044,287.38/11,662.34
  6. Step 6: Final answer
    x = 13,808.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.