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Finding the Fourth Proportional to 16,414.48, 24,621.72 and 7,174

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Solution

The fourth proportional to 16,414.48, 24,621.72 and 7,174 is: 10,761

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.48 : 24,621.72 = 7,174 : x
  2. Step 2: Convert to fraction form
    16,414.48/24,621.72 = 7,174/x
  3. Step 3: Cross multiply
    16,414.48x = 24,621.72 × 7,174
  4. Step 4: Simplify right side
    16,414.48x = 176,636,219.28
  5. Step 5: Solve for x
    x = 176,636,219.28/16,414.48
  6. Step 6: Final answer
    x = 10,761

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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.