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Finding the Fourth Proportional to 16,384.75, 24,577.13 and 4,072.75

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Solution

The fourth proportional to 16,384.75, 24,577.13 and 4,072.75 is: 6,109.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,384.75 : 24,577.13 = 4,072.75 : x
  2. Step 2: Convert to fraction form
    16,384.75/24,577.13 = 4,072.75/x
  3. Step 3: Cross multiply
    16,384.75x = 24,577.13 × 4,072.75
  4. Step 4: Simplify right side
    16,384.75x = 100,096,506.21
  5. Step 5: Solve for x
    x = 100,096,506.21/16,384.75
  6. Step 6: Final answer
    x = 6,109.13

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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.