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Finding the Fourth Proportional to 11,926.38, 17,802.38 and 11,059.02

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Solution

The fourth proportional to 11,926.38, 17,802.38 and 11,059.02 is: 16,507.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,926.38 : 17,802.38 = 11,059.02 : x
  2. Step 2: Convert to fraction form
    11,926.38/17,802.38 = 11,059.02/x
  3. Step 3: Cross multiply
    11,926.38x = 17,802.38 × 11,059.02
  4. Step 4: Simplify right side
    11,926.38x = 196,876,821.17
  5. Step 5: Solve for x
    x = 196,876,821.17/11,926.38
  6. Step 6: Final answer
    x = 16,507.68

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.