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Finding the Fourth Proportional to 25,889.67, 38,824.92 and 9,245.25

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Solution

The fourth proportional to 25,889.67, 38,824.92 and 9,245.25 is: 13,864.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,889.67 : 38,824.92 = 9,245.25 : x
  2. Step 2: Convert to fraction form
    25,889.67/38,824.92 = 9,245.25/x
  3. Step 3: Cross multiply
    25,889.67x = 38,824.92 × 9,245.25
  4. Step 4: Simplify right side
    25,889.67x = 358,946,091.63
  5. Step 5: Solve for x
    x = 358,946,091.63/25,889.67
  6. Step 6: Final answer
    x = 13,864.45

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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.