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Finding the Fourth Proportional to 24,814.56, 34,243.92 and 13,636.80

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Solution

The fourth proportional to 24,814.56, 34,243.92 and 13,636.80 is: 18,818.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,814.56 : 34,243.92 = 13,636.80 : x
  2. Step 2: Convert to fraction form
    24,814.56/34,243.92 = 13,636.80/x
  3. Step 3: Cross multiply
    24,814.56x = 34,243.92 × 13,636.80
  4. Step 4: Simplify right side
    24,814.56x = 466,977,488.26
  5. Step 5: Solve for x
    x = 466,977,488.26/24,814.56
  6. Step 6: Final answer
    x = 18,818.69

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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.