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Finding the Fourth Proportional to 21,062.25, 29,069.82 and 12,109.86

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Solution

The fourth proportional to 21,062.25, 29,069.82 and 12,109.86 is: 16,713.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,062.25 : 29,069.82 = 12,109.86 : x
  2. Step 2: Convert to fraction form
    21,062.25/29,069.82 = 12,109.86/x
  3. Step 3: Cross multiply
    21,062.25x = 29,069.82 × 12,109.86
  4. Step 4: Simplify right side
    21,062.25x = 352,031,450.43
  5. Step 5: Solve for x
    x = 352,031,450.43/21,062.25
  6. Step 6: Final answer
    x = 16,713.86

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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.