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Finding the Fourth Proportional to 15,814.91, 21,824.43 and 8,741.38

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Solution

The fourth proportional to 15,814.91, 21,824.43 and 8,741.38 is: 12,063.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,814.91 : 21,824.43 = 8,741.38 : x
  2. Step 2: Convert to fraction form
    15,814.91/21,824.43 = 8,741.38/x
  3. Step 3: Cross multiply
    15,814.91x = 21,824.43 × 8,741.38
  4. Step 4: Simplify right side
    15,814.91x = 190,775,635.91
  5. Step 5: Solve for x
    x = 190,775,635.91/15,814.91
  6. Step 6: Final answer
    x = 12,063.02

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Why These Related Problems?

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