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Finding the Fourth Proportional to 11,732.22, 16,184.34 and 9,496.62

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Solution

The fourth proportional to 11,732.22, 16,184.34 and 9,496.62 is: 13,100.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,732.22 : 16,184.34 = 9,496.62 : x
  2. Step 2: Convert to fraction form
    11,732.22/16,184.34 = 9,496.62/x
  3. Step 3: Cross multiply
    11,732.22x = 16,184.34 × 9,496.62
  4. Step 4: Simplify right side
    11,732.22x = 153,696,526.93
  5. Step 5: Solve for x
    x = 153,696,526.93/11,732.22
  6. Step 6: Final answer
    x = 13,100.38

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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.