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Finding the Fourth Proportional to 28,097.49, 42,116.94 and 11,450.64

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Solution

The fourth proportional to 28,097.49, 42,116.94 and 11,450.64 is: 17,164.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,097.49 : 42,116.94 = 11,450.64 : x
  2. Step 2: Convert to fraction form
    28,097.49/42,116.94 = 11,450.64/x
  3. Step 3: Cross multiply
    28,097.49x = 42,116.94 × 11,450.64
  4. Step 4: Simplify right side
    28,097.49x = 482,265,917.84
  5. Step 5: Solve for x
    x = 482,265,917.84/28,097.49
  6. Step 6: Final answer
    x = 17,164.02

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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.