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Finding the Fourth Proportional to 25,524.46, 38,281.32 and 9,723.99

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Solution

The fourth proportional to 25,524.46, 38,281.32 and 9,723.99 is: 14,583.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,524.46 : 38,281.32 = 9,723.99 : x
  2. Step 2: Convert to fraction form
    25,524.46/38,281.32 = 9,723.99/x
  3. Step 3: Cross multiply
    25,524.46x = 38,281.32 × 9,723.99
  4. Step 4: Simplify right side
    25,524.46x = 372,247,172.87
  5. Step 5: Solve for x
    x = 372,247,172.87/25,524.46
  6. Step 6: Final answer
    x = 14,583.94

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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.