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Finding the Fourth Proportional to 21,971.60, 32,899.80 and 16,096.40

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Solution

The fourth proportional to 21,971.60, 32,899.80 and 16,096.40 is: 24,102.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,971.60 : 32,899.80 = 16,096.40 : x
  2. Step 2: Convert to fraction form
    21,971.60/32,899.80 = 16,096.40/x
  3. Step 3: Cross multiply
    21,971.60x = 32,899.80 × 16,096.40
  4. Step 4: Simplify right side
    21,971.60x = 529,568,340.72
  5. Step 5: Solve for x
    x = 529,568,340.72/21,971.60
  6. Step 6: Final answer
    x = 24,102.40

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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.