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Finding the Fourth Proportional to 18,884.06, 28,329.50 and 7,784.57

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Solution

The fourth proportional to 18,884.06, 28,329.50 and 7,784.57 is: 11,678.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,884.06 : 28,329.50 = 7,784.57 : x
  2. Step 2: Convert to fraction form
    18,884.06/28,329.50 = 7,784.57/x
  3. Step 3: Cross multiply
    18,884.06x = 28,329.50 × 7,784.57
  4. Step 4: Simplify right side
    18,884.06x = 220,532,975.82
  5. Step 5: Solve for x
    x = 220,532,975.82/18,884.06
  6. Step 6: Final answer
    x = 11,678.26

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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.