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Finding the Fourth Proportional to 19,189.50, 28,784.25 and 5,338.86

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Solution

The fourth proportional to 19,189.50, 28,784.25 and 5,338.86 is: 8,008.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,189.50 : 28,784.25 = 5,338.86 : x
  2. Step 2: Convert to fraction form
    19,189.50/28,784.25 = 5,338.86/x
  3. Step 3: Cross multiply
    19,189.50x = 28,784.25 × 5,338.86
  4. Step 4: Simplify right side
    19,189.50x = 153,675,080.96
  5. Step 5: Solve for x
    x = 153,675,080.96/19,189.50
  6. Step 6: Final answer
    x = 8,008.29

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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.