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Finding the Fourth Proportional to 24,782.76, 37,179.54 and 9,992.16

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Solution

The fourth proportional to 24,782.76, 37,179.54 and 9,992.16 is: 14,990.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,782.76 : 37,179.54 = 9,992.16 : x
  2. Step 2: Convert to fraction form
    24,782.76/37,179.54 = 9,992.16/x
  3. Step 3: Cross multiply
    24,782.76x = 37,179.54 × 9,992.16
  4. Step 4: Simplify right side
    24,782.76x = 371,503,912.41
  5. Step 5: Solve for x
    x = 371,503,912.41/24,782.76
  6. Step 6: Final answer
    x = 14,990.42

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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.