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Finding the Fourth Proportional to 25,054.25, 37,584.83 and 8,419.04

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Solution

The fourth proportional to 25,054.25, 37,584.83 and 8,419.04 is: 12,629.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,054.25 : 37,584.83 = 8,419.04 : x
  2. Step 2: Convert to fraction form
    25,054.25/37,584.83 = 8,419.04/x
  3. Step 3: Cross multiply
    25,054.25x = 37,584.83 × 8,419.04
  4. Step 4: Simplify right side
    25,054.25x = 316,428,187.16
  5. Step 5: Solve for x
    x = 316,428,187.16/25,054.25
  6. Step 6: Final answer
    x = 12,629.72

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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.