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Finding the Fourth Proportional to 13,905.50, 20,858.76 and 7,149.28

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Solution

The fourth proportional to 13,905.50, 20,858.76 and 7,149.28 is: 10,724.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,905.50 : 20,858.76 = 7,149.28 : x
  2. Step 2: Convert to fraction form
    13,905.50/20,858.76 = 7,149.28/x
  3. Step 3: Cross multiply
    13,905.50x = 20,858.76 × 7,149.28
  4. Step 4: Simplify right side
    13,905.50x = 149,125,011.40
  5. Step 5: Solve for x
    x = 149,125,011.40/13,905.50
  6. Step 6: Final answer
    x = 10,724.17

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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.