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Finding the Fourth Proportional to 25,289.91, 37,938.98 and 9,496.16

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Solution

The fourth proportional to 25,289.91, 37,938.98 and 9,496.16 is: 14,245.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,289.91 : 37,938.98 = 9,496.16 : x
  2. Step 2: Convert to fraction form
    25,289.91/37,938.98 = 9,496.16/x
  3. Step 3: Cross multiply
    25,289.91x = 37,938.98 × 9,496.16
  4. Step 4: Simplify right side
    25,289.91x = 360,274,505.73
  5. Step 5: Solve for x
    x = 360,274,505.73/25,289.91
  6. Step 6: Final answer
    x = 14,245.78

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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.