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Finding the Fourth Proportional to 11,442.70, 17,164.05 and 11,005.30

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Solution

The fourth proportional to 11,442.70, 17,164.05 and 11,005.30 is: 16,507.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,442.70 : 17,164.05 = 11,005.30 : x
  2. Step 2: Convert to fraction form
    11,442.70/17,164.05 = 11,005.30/x
  3. Step 3: Cross multiply
    11,442.70x = 17,164.05 × 11,005.30
  4. Step 4: Simplify right side
    11,442.70x = 188,895,519.47
  5. Step 5: Solve for x
    x = 188,895,519.47/11,442.70
  6. Step 6: Final answer
    x = 16,507.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.