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Finding the Fourth Proportional to 13,773.38, 19,007.26 and 8,184.38

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Solution

The fourth proportional to 13,773.38, 19,007.26 and 8,184.38 is: 11,294.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.38 : 19,007.26 = 8,184.38 : x
  2. Step 2: Convert to fraction form
    13,773.38/19,007.26 = 8,184.38/x
  3. Step 3: Cross multiply
    13,773.38x = 19,007.26 × 8,184.38
  4. Step 4: Simplify right side
    13,773.38x = 155,562,523.10
  5. Step 5: Solve for x
    x = 155,562,523.10/13,773.38
  6. Step 6: Final answer
    x = 11,294.44

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.