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Finding the Fourth Proportional to 25,076.54, 37,617.32 and 9,285.80

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Solution

The fourth proportional to 25,076.54, 37,617.32 and 9,285.80 is: 13,929.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,076.54 : 37,617.32 = 9,285.80 : x
  2. Step 2: Convert to fraction form
    25,076.54/37,617.32 = 9,285.80/x
  3. Step 3: Cross multiply
    25,076.54x = 37,617.32 × 9,285.80
  4. Step 4: Simplify right side
    25,076.54x = 349,306,910.06
  5. Step 5: Solve for x
    x = 349,306,910.06/25,076.54
  6. Step 6: Final answer
    x = 13,929.63

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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.