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Finding the Fourth Proportional to 13,907.80, 20,825.70 and 12,643.49

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Solution

The fourth proportional to 13,907.80, 20,825.70 and 12,643.49 is: 18,932.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.80 : 20,825.70 = 12,643.49 : x
  2. Step 2: Convert to fraction form
    13,907.80/20,825.70 = 12,643.49/x
  3. Step 3: Cross multiply
    13,907.80x = 20,825.70 × 12,643.49
  4. Step 4: Simplify right side
    13,907.80x = 263,309,581.76
  5. Step 5: Solve for x
    x = 263,309,581.76/13,907.80
  6. Step 6: Final answer
    x = 18,932.51

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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.