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Finding the Fourth Proportional to 23,216.64, 34,833.60 and 10,896

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Solution

The fourth proportional to 23,216.64, 34,833.60 and 10,896 is: 16,348.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,216.64 : 34,833.60 = 10,896 : x
  2. Step 2: Convert to fraction form
    23,216.64/34,833.60 = 10,896/x
  3. Step 3: Cross multiply
    23,216.64x = 34,833.60 × 10,896
  4. Step 4: Simplify right side
    23,216.64x = 379,546,905.60
  5. Step 5: Solve for x
    x = 379,546,905.60/23,216.64
  6. Step 6: Final answer
    x = 16,348.05

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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.