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Finding the Fourth Proportional to 24,416.36, 36,625.97 and 9,423.56

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Solution

The fourth proportional to 24,416.36, 36,625.97 and 9,423.56 is: 14,135.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,416.36 : 36,625.97 = 9,423.56 : x
  2. Step 2: Convert to fraction form
    24,416.36/36,625.97 = 9,423.56/x
  3. Step 3: Cross multiply
    24,416.36x = 36,625.97 × 9,423.56
  4. Step 4: Simplify right side
    24,416.36x = 345,146,795.61
  5. Step 5: Solve for x
    x = 345,146,795.61/24,416.36
  6. Step 6: Final answer
    x = 14,135.89

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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.