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Finding the Fourth Proportional to 16,119.64, 24,178.56 and 4,874.80

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Solution

The fourth proportional to 16,119.64, 24,178.56 and 4,874.80 is: 7,311.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,119.64 : 24,178.56 = 4,874.80 : x
  2. Step 2: Convert to fraction form
    16,119.64/24,178.56 = 4,874.80/x
  3. Step 3: Cross multiply
    16,119.64x = 24,178.56 × 4,874.80
  4. Step 4: Simplify right side
    16,119.64x = 117,865,644.29
  5. Step 5: Solve for x
    x = 117,865,644.29/16,119.64
  6. Step 6: Final answer
    x = 7,311.93

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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.