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Finding the Fourth Proportional to 25,548.72, 38,326.72 and 6,829.36

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Solution

The fourth proportional to 25,548.72, 38,326.72 and 6,829.36 is: 10,245.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,548.72 : 38,326.72 = 6,829.36 : x
  2. Step 2: Convert to fraction form
    25,548.72/38,326.72 = 6,829.36/x
  3. Step 3: Cross multiply
    25,548.72x = 38,326.72 × 6,829.36
  4. Step 4: Simplify right side
    25,548.72x = 261,747,084.00
  5. Step 5: Solve for x
    x = 261,747,084.00/25,548.72
  6. Step 6: Final answer
    x = 10,245.02

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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.