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Finding the Fourth Proportional to 24,416.44, 36,623.95 and 7,777.42

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Solution

The fourth proportional to 24,416.44, 36,623.95 and 7,777.42 is: 11,665.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,416.44 : 36,623.95 = 7,777.42 : x
  2. Step 2: Convert to fraction form
    24,416.44/36,623.95 = 7,777.42/x
  3. Step 3: Cross multiply
    24,416.44x = 36,623.95 × 7,777.42
  4. Step 4: Simplify right side
    24,416.44x = 284,839,730.21
  5. Step 5: Solve for x
    x = 284,839,730.21/24,416.44
  6. Step 6: Final answer
    x = 11,665.90

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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.