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Finding the Fourth Proportional to 25,428.67, 38,142.99 and 9,846.29

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Solution

The fourth proportional to 25,428.67, 38,142.99 and 9,846.29 is: 14,769.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,428.67 : 38,142.99 = 9,846.29 : x
  2. Step 2: Convert to fraction form
    25,428.67/38,142.99 = 9,846.29/x
  3. Step 3: Cross multiply
    25,428.67x = 38,142.99 × 9,846.29
  4. Step 4: Simplify right side
    25,428.67x = 375,567,036.36
  5. Step 5: Solve for x
    x = 375,567,036.36/25,428.67
  6. Step 6: Final answer
    x = 14,769.43

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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.