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Finding the Fourth Proportional to 12,382.34, 18,578.25 and 7,455.50

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Solution

The fourth proportional to 12,382.34, 18,578.25 and 7,455.50 is: 11,186.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,382.34 : 18,578.25 = 7,455.50 : x
  2. Step 2: Convert to fraction form
    12,382.34/18,578.25 = 7,455.50/x
  3. Step 3: Cross multiply
    12,382.34x = 18,578.25 × 7,455.50
  4. Step 4: Simplify right side
    12,382.34x = 138,510,142.88
  5. Step 5: Solve for x
    x = 138,510,142.88/12,382.34
  6. Step 6: Final answer
    x = 11,186.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.