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Finding the Fourth Proportional to 12,855.45, 19,142.70 and 12,382.52

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Solution

The fourth proportional to 12,855.45, 19,142.70 and 12,382.52 is: 18,438.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,855.45 : 19,142.70 = 12,382.52 : x
  2. Step 2: Convert to fraction form
    12,855.45/19,142.70 = 12,382.52/x
  3. Step 3: Cross multiply
    12,855.45x = 19,142.70 × 12,382.52
  4. Step 4: Simplify right side
    12,855.45x = 237,034,935.61
  5. Step 5: Solve for x
    x = 237,034,935.61/12,855.45
  6. Step 6: Final answer
    x = 18,438.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.