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Finding the Fourth Proportional to 25,196.52, 37,783.82 and 7,662.24

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Solution

The fourth proportional to 25,196.52, 37,783.82 and 7,662.24 is: 11,490.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,196.52 : 37,783.82 = 7,662.24 : x
  2. Step 2: Convert to fraction form
    25,196.52/37,783.82 = 7,662.24/x
  3. Step 3: Cross multiply
    25,196.52x = 37,783.82 × 7,662.24
  4. Step 4: Simplify right side
    25,196.52x = 289,508,696.96
  5. Step 5: Solve for x
    x = 289,508,696.96/25,196.52
  6. Step 6: Final answer
    x = 11,490.03

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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.