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Finding the Fourth Proportional to 12,145.92, 18,235.20 and 6,307.20

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Solution

The fourth proportional to 12,145.92, 18,235.20 and 6,307.20 is: 9,469.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,145.92 : 18,235.20 = 6,307.20 : x
  2. Step 2: Convert to fraction form
    12,145.92/18,235.20 = 6,307.20/x
  3. Step 3: Cross multiply
    12,145.92x = 18,235.20 × 6,307.20
  4. Step 4: Simplify right side
    12,145.92x = 115,013,053.44
  5. Step 5: Solve for x
    x = 115,013,053.44/12,145.92
  6. Step 6: Final answer
    x = 9,469.27

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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.