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Finding the Fourth Proportional to 16,243.50, 22,405.50 and 9,956.28

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Solution

The fourth proportional to 16,243.50, 22,405.50 and 9,956.28 is: 13,733.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,243.50 : 22,405.50 = 9,956.28 : x
  2. Step 2: Convert to fraction form
    16,243.50/22,405.50 = 9,956.28/x
  3. Step 3: Cross multiply
    16,243.50x = 22,405.50 × 9,956.28
  4. Step 4: Simplify right side
    16,243.50x = 223,075,431.54
  5. Step 5: Solve for x
    x = 223,075,431.54/16,243.50
  6. Step 6: Final answer
    x = 13,733.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.