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Finding the Fourth Proportional to 25,197.50, 37,785.33 and 7,663.25

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Solution

The fourth proportional to 25,197.50, 37,785.33 and 7,663.25 is: 11,491.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,197.50 : 37,785.33 = 7,663.25 : x
  2. Step 2: Convert to fraction form
    25,197.50/37,785.33 = 7,663.25/x
  3. Step 3: Cross multiply
    25,197.50x = 37,785.33 × 7,663.25
  4. Step 4: Simplify right side
    25,197.50x = 289,558,241.20
  5. Step 5: Solve for x
    x = 289,558,241.20/25,197.50
  6. Step 6: Final answer
    x = 11,491.55

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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.