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Finding the Fourth Proportional to 15,814.81, 21,824.13 and 8,741.26

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Solution

The fourth proportional to 15,814.81, 21,824.13 and 8,741.26 is: 12,062.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,814.81 : 21,824.13 = 8,741.26 : x
  2. Step 2: Convert to fraction form
    15,814.81/21,824.13 = 8,741.26/x
  3. Step 3: Cross multiply
    15,814.81x = 21,824.13 × 8,741.26
  4. Step 4: Simplify right side
    15,814.81x = 190,770,394.60
  5. Step 5: Solve for x
    x = 190,770,394.60/15,814.81
  6. Step 6: Final answer
    x = 12,062.77

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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.