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Finding the Fourth Proportional to 13,909.38, 19,194.94 and 8,320.38

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Solution

The fourth proportional to 13,909.38, 19,194.94 and 8,320.38 is: 11,482.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909.38 : 19,194.94 = 8,320.38 : x
  2. Step 2: Convert to fraction form
    13,909.38/19,194.94 = 8,320.38/x
  3. Step 3: Cross multiply
    13,909.38x = 19,194.94 × 8,320.38
  4. Step 4: Simplify right side
    13,909.38x = 159,709,194.88
  5. Step 5: Solve for x
    x = 159,709,194.88/13,909.38
  6. Step 6: Final answer
    x = 11,482.12

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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.