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Finding the Fourth Proportional to 25,201.44, 37,799.28 and 6,732

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Solution

The fourth proportional to 25,201.44, 37,799.28 and 6,732 is: 10,097.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,201.44 : 37,799.28 = 6,732 : x
  2. Step 2: Convert to fraction form
    25,201.44/37,799.28 = 6,732/x
  3. Step 3: Cross multiply
    25,201.44x = 37,799.28 × 6,732
  4. Step 4: Simplify right side
    25,201.44x = 254,464,752.96
  5. Step 5: Solve for x
    x = 254,464,752.96/25,201.44
  6. Step 6: Final answer
    x = 10,097.23

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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.