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Finding the Fourth Proportional to 13,907.28, 20,846.34 and 6,505.50

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Solution

The fourth proportional to 13,907.28, 20,846.34 and 6,505.50 is: 9,751.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.28 : 20,846.34 = 6,505.50 : x
  2. Step 2: Convert to fraction form
    13,907.28/20,846.34 = 6,505.50/x
  3. Step 3: Cross multiply
    13,907.28x = 20,846.34 × 6,505.50
  4. Step 4: Simplify right side
    13,907.28x = 135,615,864.87
  5. Step 5: Solve for x
    x = 135,615,864.87/13,907.28
  6. Step 6: Final answer
    x = 9,751.43

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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.