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Finding the Fourth Proportional to 12,195.30, 18,278.55 and 5,175.30

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Solution

The fourth proportional to 12,195.30, 18,278.55 and 5,175.30 is: 7,756.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,195.30 : 18,278.55 = 5,175.30 : x
  2. Step 2: Convert to fraction form
    12,195.30/18,278.55 = 5,175.30/x
  3. Step 3: Cross multiply
    12,195.30x = 18,278.55 × 5,175.30
  4. Step 4: Simplify right side
    12,195.30x = 94,596,979.82
  5. Step 5: Solve for x
    x = 94,596,979.82/12,195.30
  6. Step 6: Final answer
    x = 7,756.84

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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.