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Finding the Fourth Proportional to 21,664.92, 32,447.16 and 15,807

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Solution

The fourth proportional to 21,664.92, 32,447.16 and 15,807 is: 23,673.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,664.92 : 32,447.16 = 15,807 : x
  2. Step 2: Convert to fraction form
    21,664.92/32,447.16 = 15,807/x
  3. Step 3: Cross multiply
    21,664.92x = 32,447.16 × 15,807
  4. Step 4: Simplify right side
    21,664.92x = 512,892,258.12
  5. Step 5: Solve for x
    x = 512,892,258.12/21,664.92
  6. Step 6: Final answer
    x = 23,673.86

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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.