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Finding the Fourth Proportional to 13,503.45, 20,219.68 and 9,533.31

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Solution

The fourth proportional to 13,503.45, 20,219.68 and 9,533.31 is: 14,274.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503.45 : 20,219.68 = 9,533.31 : x
  2. Step 2: Convert to fraction form
    13,503.45/20,219.68 = 9,533.31/x
  3. Step 3: Cross multiply
    13,503.45x = 20,219.68 × 9,533.31
  4. Step 4: Simplify right side
    13,503.45x = 192,760,477.54
  5. Step 5: Solve for x
    x = 192,760,477.54/13,503.45
  6. Step 6: Final answer
    x = 14,274.91

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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.