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Finding the Fourth Proportional to 21,444.36, 32,216 and 20,558.64

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Solution

The fourth proportional to 21,444.36, 32,216 and 20,558.64 is: 30,885.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,444.36 : 32,216 = 20,558.64 : x
  2. Step 2: Convert to fraction form
    21,444.36/32,216 = 20,558.64/x
  3. Step 3: Cross multiply
    21,444.36x = 32,216 × 20,558.64
  4. Step 4: Simplify right side
    21,444.36x = 662,317,146.24
  5. Step 5: Solve for x
    x = 662,317,146.24/21,444.36
  6. Step 6: Final answer
    x = 30,885.38

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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.