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Finding the Fourth Proportional to 13,958.70, 20,905.65 and 9,552.30

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Solution

The fourth proportional to 13,958.70, 20,905.65 and 9,552.30 is: 14,306.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,958.70 : 20,905.65 = 9,552.30 : x
  2. Step 2: Convert to fraction form
    13,958.70/20,905.65 = 9,552.30/x
  3. Step 3: Cross multiply
    13,958.70x = 20,905.65 × 9,552.30
  4. Step 4: Simplify right side
    13,958.70x = 199,697,040.50
  5. Step 5: Solve for x
    x = 199,697,040.50/13,958.70
  6. Step 6: Final answer
    x = 14,306.28

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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.