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Finding the Fourth Proportional to 24,576.38, 36,855.19 and 8,778.47

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Solution

The fourth proportional to 24,576.38, 36,855.19 and 8,778.47 is: 13,164.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,576.38 : 36,855.19 = 8,778.47 : x
  2. Step 2: Convert to fraction form
    24,576.38/36,855.19 = 8,778.47/x
  3. Step 3: Cross multiply
    24,576.38x = 36,855.19 × 8,778.47
  4. Step 4: Simplify right side
    24,576.38x = 323,531,973.54
  5. Step 5: Solve for x
    x = 323,531,973.54/24,576.38
  6. Step 6: Final answer
    x = 13,164.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.