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Finding the Fourth Proportional to 16,414.68, 24,626.25 and 4,728.81

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Solution

The fourth proportional to 16,414.68, 24,626.25 and 4,728.81 is: 7,094.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,414.68 : 24,626.25 = 4,728.81 : x
  2. Step 2: Convert to fraction form
    16,414.68/24,626.25 = 4,728.81/x
  3. Step 3: Cross multiply
    16,414.68x = 24,626.25 × 4,728.81
  4. Step 4: Simplify right side
    16,414.68x = 116,452,857.26
  5. Step 5: Solve for x
    x = 116,452,857.26/16,414.68
  6. Step 6: Final answer
    x = 7,094.43

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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.