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Finding the Fourth Proportional to 16,276.42, 24,414.62 and 7,506.54

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Solution

The fourth proportional to 16,276.42, 24,414.62 and 7,506.54 is: 11,259.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,276.42 : 24,414.62 = 7,506.54 : x
  2. Step 2: Convert to fraction form
    16,276.42/24,414.62 = 7,506.54/x
  3. Step 3: Cross multiply
    16,276.42x = 24,414.62 × 7,506.54
  4. Step 4: Simplify right side
    16,276.42x = 183,269,321.61
  5. Step 5: Solve for x
    x = 183,269,321.61/16,276.42
  6. Step 6: Final answer
    x = 11,259.81

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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.