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Finding the Fourth Proportional to 13,907.44, 19,191.57 and 8,248.60

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Solution

The fourth proportional to 13,907.44, 19,191.57 and 8,248.60 is: 11,382.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.44 : 19,191.57 = 8,248.60 : x
  2. Step 2: Convert to fraction form
    13,907.44/19,191.57 = 8,248.60/x
  3. Step 3: Cross multiply
    13,907.44x = 19,191.57 × 8,248.60
  4. Step 4: Simplify right side
    13,907.44x = 158,303,584.30
  5. Step 5: Solve for x
    x = 158,303,584.30/13,907.44
  6. Step 6: Final answer
    x = 11,382.65

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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.