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Finding the Fourth Proportional to 13,907.60, 19,198.70 and 8,878.48

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Solution

The fourth proportional to 13,907.60, 19,198.70 and 8,878.48 is: 12,256.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.60 : 19,198.70 = 8,878.48 : x
  2. Step 2: Convert to fraction form
    13,907.60/19,198.70 = 8,878.48/x
  3. Step 3: Cross multiply
    13,907.60x = 19,198.70 × 8,878.48
  4. Step 4: Simplify right side
    13,907.60x = 170,455,273.98
  5. Step 5: Solve for x
    x = 170,455,273.98/13,907.60
  6. Step 6: Final answer
    x = 12,256.27

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