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Finding the Fourth Proportional to 10,955.49, 16,447.36 and 9,405.46

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Solution

The fourth proportional to 10,955.49, 16,447.36 and 9,405.46 is: 14,120.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,955.49 : 16,447.36 = 9,405.46 : x
  2. Step 2: Convert to fraction form
    10,955.49/16,447.36 = 9,405.46/x
  3. Step 3: Cross multiply
    10,955.49x = 16,447.36 × 9,405.46
  4. Step 4: Simplify right side
    10,955.49x = 154,694,986.59
  5. Step 5: Solve for x
    x = 154,694,986.59/10,955.49
  6. Step 6: Final answer
    x = 14,120.32

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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.