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Finding the Fourth Proportional to 24,097.14, 36,136.72 and 8,297.70

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Solution

The fourth proportional to 24,097.14, 36,136.72 and 8,297.70 is: 12,443.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,097.14 : 36,136.72 = 8,297.70 : x
  2. Step 2: Convert to fraction form
    24,097.14/36,136.72 = 8,297.70/x
  3. Step 3: Cross multiply
    24,097.14x = 36,136.72 × 8,297.70
  4. Step 4: Simplify right side
    24,097.14x = 299,851,661.54
  5. Step 5: Solve for x
    x = 299,851,661.54/24,097.14
  6. Step 6: Final answer
    x = 12,443.45

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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.