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Finding the Fourth Proportional to 15,814.44, 21,823.92 and 8,740.80

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Solution

The fourth proportional to 15,814.44, 21,823.92 and 8,740.80 is: 12,062.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,814.44 : 21,823.92 = 8,740.80 : x
  2. Step 2: Convert to fraction form
    15,814.44/21,823.92 = 8,740.80/x
  3. Step 3: Cross multiply
    15,814.44x = 21,823.92 × 8,740.80
  4. Step 4: Simplify right side
    15,814.44x = 190,758,519.94
  5. Step 5: Solve for x
    x = 190,758,519.94/15,814.44
  6. Step 6: Final answer
    x = 12,062.30

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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.