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Finding the Fourth Proportional to 25,203.25, 37,804.88 and 6,735.25

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Solution

The fourth proportional to 25,203.25, 37,804.88 and 6,735.25 is: 10,102.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,203.25 : 37,804.88 = 6,735.25 : x
  2. Step 2: Convert to fraction form
    25,203.25/37,804.88 = 6,735.25/x
  3. Step 3: Cross multiply
    25,203.25x = 37,804.88 × 6,735.25
  4. Step 4: Simplify right side
    25,203.25x = 254,625,318.02
  5. Step 5: Solve for x
    x = 254,625,318.02/25,203.25
  6. Step 6: Final answer
    x = 10,102.88

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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.