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Finding the Fourth Proportional to 25,952.94, 38,930.85 and 7,232.99

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Solution

The fourth proportional to 25,952.94, 38,930.85 and 7,232.99 is: 10,849.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,952.94 : 38,930.85 = 7,232.99 : x
  2. Step 2: Convert to fraction form
    25,952.94/38,930.85 = 7,232.99/x
  3. Step 3: Cross multiply
    25,952.94x = 38,930.85 × 7,232.99
  4. Step 4: Simplify right side
    25,952.94x = 281,586,254.09
  5. Step 5: Solve for x
    x = 281,586,254.09/25,952.94
  6. Step 6: Final answer
    x = 10,849.88

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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.