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Finding the Fourth Proportional to 16,146.75, 24,219.23 and 5,052.14

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Solution

The fourth proportional to 16,146.75, 24,219.23 and 5,052.14 is: 7,577.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,146.75 : 24,219.23 = 5,052.14 : x
  2. Step 2: Convert to fraction form
    16,146.75/24,219.23 = 5,052.14/x
  3. Step 3: Cross multiply
    16,146.75x = 24,219.23 × 5,052.14
  4. Step 4: Simplify right side
    16,146.75x = 122,358,794.30
  5. Step 5: Solve for x
    x = 122,358,794.30/16,146.75
  6. Step 6: Final answer
    x = 7,577.92

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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.