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Finding the Fourth Proportional to 25,202.56, 37,802.56 and 7,672

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Solution

The fourth proportional to 25,202.56, 37,802.56 and 7,672 is: 11,507.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,202.56 : 37,802.56 = 7,672 : x
  2. Step 2: Convert to fraction form
    25,202.56/37,802.56 = 7,672/x
  3. Step 3: Cross multiply
    25,202.56x = 37,802.56 × 7,672
  4. Step 4: Simplify right side
    25,202.56x = 290,021,240.32
  5. Step 5: Solve for x
    x = 290,021,240.32/25,202.56
  6. Step 6: Final answer
    x = 11,507.61

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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.