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Finding the Fourth Proportional to 25,201.26, 37,807.36 and 7,670.64

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Solution

The fourth proportional to 25,201.26, 37,807.36 and 7,670.64 is: 11,507.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,201.26 : 37,807.36 = 7,670.64 : x
  2. Step 2: Convert to fraction form
    25,201.26/37,807.36 = 7,670.64/x
  3. Step 3: Cross multiply
    25,201.26x = 37,807.36 × 7,670.64
  4. Step 4: Simplify right side
    25,201.26x = 290,006,553.22
  5. Step 5: Solve for x
    x = 290,006,553.22/25,201.26
  6. Step 6: Final answer
    x = 11,507.62

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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.