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Finding the Fourth Proportional to 12,185.58, 18,267.56 and 5,942.10

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Solution

The fourth proportional to 12,185.58, 18,267.56 and 5,942.10 is: 8,907.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,185.58 : 18,267.56 = 5,942.10 : x
  2. Step 2: Convert to fraction form
    12,185.58/18,267.56 = 5,942.10/x
  3. Step 3: Cross multiply
    12,185.58x = 18,267.56 × 5,942.10
  4. Step 4: Simplify right side
    12,185.58x = 108,547,668.28
  5. Step 5: Solve for x
    x = 108,547,668.28/12,185.58
  6. Step 6: Final answer
    x = 8,907.88

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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.