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Finding the Fourth Proportional to 18,882.12, 28,326.56 and 7,782.75

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Solution

The fourth proportional to 18,882.12, 28,326.56 and 7,782.75 is: 11,675.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,882.12 : 28,326.56 = 7,782.75 : x
  2. Step 2: Convert to fraction form
    18,882.12/28,326.56 = 7,782.75/x
  3. Step 3: Cross multiply
    18,882.12x = 28,326.56 × 7,782.75
  4. Step 4: Simplify right side
    18,882.12x = 220,458,495.93
  5. Step 5: Solve for x
    x = 220,458,495.93/18,882.12
  6. Step 6: Final answer
    x = 11,675.52

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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.