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Finding the Fourth Proportional to 25,306.44, 37,961.49 and 9,724.07

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Solution

The fourth proportional to 25,306.44, 37,961.49 and 9,724.07 is: 14,586.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,306.44 : 37,961.49 = 9,724.07 : x
  2. Step 2: Convert to fraction form
    25,306.44/37,961.49 = 9,724.07/x
  3. Step 3: Cross multiply
    25,306.44x = 37,961.49 × 9,724.07
  4. Step 4: Simplify right side
    25,306.44x = 369,140,186.06
  5. Step 5: Solve for x
    x = 369,140,186.06/25,306.44
  6. Step 6: Final answer
    x = 14,586.81

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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.