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Finding the Fourth Proportional to 21,166.91, 29,211.25 and 11,735.47

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Solution

The fourth proportional to 21,166.91, 29,211.25 and 11,735.47 is: 16,195.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,166.91 : 29,211.25 = 11,735.47 : x
  2. Step 2: Convert to fraction form
    21,166.91/29,211.25 = 11,735.47/x
  3. Step 3: Cross multiply
    21,166.91x = 29,211.25 × 11,735.47
  4. Step 4: Simplify right side
    21,166.91x = 342,807,748.04
  5. Step 5: Solve for x
    x = 342,807,748.04/21,166.91
  6. Step 6: Final answer
    x = 16,195.46

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