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Finding the Fourth Proportional to 10,955.98, 16,419.86 and 9,544.69

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Solution

The fourth proportional to 10,955.98, 16,419.86 and 9,544.69 is: 14,304.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,955.98 : 16,419.86 = 9,544.69 : x
  2. Step 2: Convert to fraction form
    10,955.98/16,419.86 = 9,544.69/x
  3. Step 3: Cross multiply
    10,955.98x = 16,419.86 × 9,544.69
  4. Step 4: Simplify right side
    10,955.98x = 156,722,343.72
  5. Step 5: Solve for x
    x = 156,722,343.72/10,955.98
  6. Step 6: Final answer
    x = 14,304.74

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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.