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Finding the Fourth Proportional to 15,814.13, 21,823.70 and 8,741.21

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Solution

The fourth proportional to 15,814.13, 21,823.70 and 8,741.21 is: 12,062.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,814.13 : 21,823.70 = 8,741.21 : x
  2. Step 2: Convert to fraction form
    15,814.13/21,823.70 = 8,741.21/x
  3. Step 3: Cross multiply
    15,814.13x = 21,823.70 × 8,741.21
  4. Step 4: Simplify right side
    15,814.13x = 190,765,391.85
  5. Step 5: Solve for x
    x = 190,765,391.85/15,814.13
  6. Step 6: Final answer
    x = 12,062.97

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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.