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Finding the Fourth Proportional to 23,719.70, 35,580.16 and 11,236.80

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Solution

The fourth proportional to 23,719.70, 35,580.16 and 11,236.80 is: 16,855.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,719.70 : 35,580.16 = 11,236.80 : x
  2. Step 2: Convert to fraction form
    23,719.70/35,580.16 = 11,236.80/x
  3. Step 3: Cross multiply
    23,719.70x = 35,580.16 × 11,236.80
  4. Step 4: Simplify right side
    23,719.70x = 399,807,141.89
  5. Step 5: Solve for x
    x = 399,807,141.89/23,719.70
  6. Step 6: Final answer
    x = 16,855.49

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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.